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 Holcman, David, author.
 Cham : Springer, [2018]
 Description
 Book — xxiii, 444 pages : illustrations (some color) ; 25 cm.
 Summary

 Singular perturbations of elliptic boundary problems
 Secondorder elliptic boundary value problems with a small leading part
 Introduction
 Application to stochastic differential equations
 The survival probability and the eigenvalue problem
 Discussion
 A primer of asymptotics for ODEs
 The laplace expansion of integrals
 The asymptotics of a firstorder initial value problem
 Matched asymptotic expansions
 An Application to stochastic differential equations : the exit problem in R1
 Asymptotics of a secondorder boundary value problem
 Asymptotics of a homogeneous secondorder boundary value problem
 Asymptotics of the inhomogeneous boundary value problem
 Examples and applications to stochastic equations
 Small diffusion with the flow : the homogeneous boundary value problem
 Small diffusion against the flow
 Small diffusion against the flow : the inhomogeneous boundary value problem
 The boundary value problem with a sharp potential barrier
 The problem for a smooth potential barrier at the boundary
 The second eigenvalue of the fokkerplanck operator
 A diffusion model of random signals
 Loss of lock in a firstorder phaselocked loop in phasemodulated radio signals
 Annotations
 Singular perturbations in higher dimensions
 Introduction
 The WKB method
 The eikonal equation
 The transport equation
 The characteristic equations
 Boundary layers at noncharacteristic boundaries
 Boundary layers at characteristic boundaries in the plane
 The boundary value problem with noncharacteristic boundaries
 The boundary value problem in planar domains with characteristic boundaries
 Loss of lock in a secondorder phaselocked loop
 The phase plane of the reduced problem
 The mean time to lose lock
 The boundary layer structure of ...
 Asymptotic solution of the stationary fokkerplanck equation
 The eikonal equation for (3.136)
 The eikonal on the separatrix
 The transport equation
 Derivation of (3.114)
 Green's function for the boundary value problem is the exit density
 Annotations
 An attractor inside an unstable limit cycle
 The reduced equation : an underdamped forced pendulum
 Asymptotics of the fokkerplanck equation near the limit cycle
 The boundary value problem for the fokkerplanck equation in ...
 Annotations
 Eigenvalues of a nonselfadjoint elliptic operator
 Introduction
 Eigenvalues and the survival probability
 The principal eigenvalue and the structure of the field a(x)
 The precise WKB structure of the principal eigenfunction
 The eikonal equation
 The transport equation
 The boundary layer equation
 The first eigenfunction of the adjoint problem
 Higherorder eigenvalues
 Oscillatory escape time
 Spontaneous activity in the cerebral cortex
 Numerical study of oscillatory decay
 A model of upstate dynamics in a neuronal network
 The phase space of the model
 Brownian simulations of oscillation phenomena in (4.80)
 The exit density from a focus near a limit cycle
 The mean first passage time ...(x)
 Numerical study of the eikonal equation
 Normal flux on ... : the exit time density
 Computation of the second eigenvalue
 Brownian dynamics simulations
 A twoterm approximation of the exittime density
 Exit time densities in three ranges of noise amplitude
 Appendices
 The density of exit points
 Expansion of the field near the boundary and no cycling
 The lacobian of b... at ...
 The real part ...
 Annotations
 Shorttime asymptotics of the heat kernel
 The onedimensional case
 The ray method for short time asymptotics of green's function
 The trace
 Simply connected domains
 Multiply connected domains
 Recovering ... from P(t)
 Discussion
 Construction of the shorttime asymptotic of the fokkerplanck equation with a periodic potential
 Annotations
 Mixed boundary conditions for elliptic and parabolic equations
 The mixed boundary value problem
 Introduction
 Formulation of the mixed boundary value problem
 The narrow escape time problem
 A pathological example
 The matched asymptotics approach
 Higherorder asymptotics in the unit ball
 The narrow escape time through multiple absorbing windows
 Annotations
 The mixed boundary value problem in R2
 A neumanndirichlet boundary value problem
 The neumann function
 The mixed boundary value problem on a riemannian manifold in R2
 Exit though several windows
 The helmholtz equation for two windows
 Asymptotic solution of the helmholtz equation
 The mixed boundary value problem for poisson's equation in dire straits
 The case of a bottleneck
 The case of several bottlenecks
 The mixed boundary value problem on a surface of revolution
 A composite domain with a bottleneck
 The narrow escape time from domains in r2 and r3 with bottlenecks
 The principal eigenvalue and bottlenecks
 Connecting head and neck
 The principal eigenvalue in dumbbellshaped domains
 Diffusion of a needle in dire straits
 The diffusion law of a needle in a planar strip
 The turnaround time ...
 Applications of the narrow escape time
 Annotation to the narrow escape time problem
 Narrow escape in R3
 The neumann function in regular domains in R3
 Elliptic absorbing window
 Secondorder asymptotics for a circular window
 The first eigenvalue for two small dirichlet windows
 Multiple absorbing windows
 Higherorder expansion of the net through many small windows on a sphere
 Application to leakage in a conductor of brownian particles
 Activation through a narrow opening
 The neumann function
 Solution of the mixed boundary value problem
 Deep well : a markov chain model
 The mixed boundary value problem in a solid funnelshaped domain
 The mixed boundary value problem with a dirichlet ribbon
 Selected applications in molecular biophysics
 Leakage from a ccylinder
 Applications of the mixed boundary value problem
 Annotations
 Shorttime asymptotics of the heat kernel and extreme statistics of the NET
 Introduction
 The pdf of the first escape time
 The pdf of the first arrival time in an interval
 Asymptotics of the expected shortest time
 Escape from a ray
 Escape from an interval ...
 The FAT in a bounded domain in R...
 Asymptotics in R3
 Asymptotics in R2
 Statistics of the arrival time of the second particle
 Poissonianlike approximation
 Pr... of N Brownian i.i.d. Trajectories in a segment
 Applications of the FAT in biophysics
 Annotations
 The poissonnernstplanck equations in a ball
 Introduction
 Synopsis of results
 Poissonnernstplanck equations in a ball
 The steadystate solution
 Existence of solutions
 The distribution of voltage and charge in a dielectric ball
 Scaling laws for the maximal number of charges
 Ionic flux in a small window at high charge
 Flow through a narrow window at high charge
 Current in a voltageclamped dendritic spine
 Appendix 1 : reverse liouvillegelfandbratu equation
 Small a expansion of ...(x)
 Numerical scheme for the solution of (10.13)
 Steady solution in a ball with a cuspshaped funnel
 Reduced equations in an uncharged cuspshaped funnel
 Asymptotics of voltage between funnel and center
 Poissonnernstplanck solutions in a 3d cuspshaped funnel
 Asymptotic analysis of the pnp equations in a cuspshaped funnel
 The potential drop in ...
 Annotations
 Reconstruction of surface diffusion from projected data
 Projection of diffusion from a curve to a line
 Driftless diffusion on a curve
 The case of diffusion with drift
 Reconstruction of a parabola from projected diffusion data
 Appendix 2
 Reconstruction of projected stochastic dynamics
 Reconstruction of a surface from planar projections of diffusion trajectories
 The drift field
 The reconstruction procedure
 Annotations
 Asymptotic formulas in molecular and cellular biology
 Introduction
 From molecular to cellular description
 Flux through narrow passages identifies cellular compartments
 Examples of asymptotic formulas : fluxes into small targets
 Formulas in two dimensions
 Narrow escape formulas in threedimensions
 Cuspshaped funnel : hidden targets control rates in R...
 DNA repair in a confined chromatin structure in R...
 Asymmetric dumbbellshaped cell division
 Annotations
 Bibliography
 Index.
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QA377 .H65 2018  Unknown 
 Craig, Walter, 1953 author.
 Providence, Rhode Island : American Mathematical Society, [2018]
 Description
 Book — ix, 205 pages : illustrations ; 27 cm.
 Summary

 Introduction Wave equations The heat equation Laplace's equation Properties of the Fourier transform Wave equations on $\mathbb{R}^n$ Dispersion Conservation laws and shocks Bibliography Index.
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QA377 .C85 2018  Unknown 
 Evangelista, L. R., author.
 Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2018.
 Description
 Book — xiii, 345 pages ; 26 cm
 Summary

 Preface
 1. Mathematical preliminaries
 2. A survey of the fractional calculus
 3. From normal to anomalous diffusion
 4. Fractional diffusion equations: elementary applications
 5. Fractional diffusion equations: surface effects
 6. Fractional nonlinear diffusion equation
 7. Anomalous diffusion: anisotropic case
 8. Fractional Schroedinger equations
 9. Anomalous diffusion and impedance spectroscopy
 10. The PoissonNernstPlanck anomalous (PNPA) models References Index.
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QA377 .E9448 2018  Unknown 
4. Gaussian capacity analysis [2018]
 Liu, Liguang, author.
 Cham, Switzerland : Springer, [2018]
 Description
 Book — ix, 108 pages ; 24 cm.
 Summary

 Gaussian Sobolev pspace. Gaussian Campanato (p, k)class. Gaussian pcapacity. Restriction of Gaussian Sobolev pspace. Gaussian 1capacity to Gaussian capacity. Gaussian BVcapacity.
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Shelved by Series title V.2225  Unknown 
 Cabré, Xavier, 1966 author.
 Cham, Switzerland : Springer ; [Cetraro] : Fondazione C.I.M.E., [2018]
 Description
 Book — xi, 196 pages : illustrations ; 24 cm.
 Summary

 Preface / Chiara Bianchini, Antoine Henrot, Rolando Magnanini
 Stable solutions to some elliptic problems : minimal cones, the AllenCahn equation, and blowup solutions / Xavier Cabré and Giorgio Poggesi
 Isoperimetric inequalities for eigenvalues of the Laplacian / Antoine Henrot
 Topological aspects of critical points and level sets in elliptic PDEs / Alberto Encisco and Daniel PeraltaSalas
 Symmetry properties for solutions of higherorder elliptic boundary value problems / Wolfgang Reichel
 Recent trends in free boundary regularity / Henrik Shahgholian.
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Shelved by Series title V.2220  Unknown 
6. An introduction to second order partial differential equations : classical and variational solutions [2018]
 Cioranescu, D. (Doïna), author.
 Singapore ; Hackensack, NJ : World Scientific Publishing Co. Pte. Ltd., [2018]
 Description
 Book — xvii, 279 pages ; 24 cm
 Online
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QA377 .C5627 2018  Unknown 
 Khavinson, Dmitry, 1956 author.
 Providence, Rhode Island : American Mathematical Society, [2018]
 Description
 Book — x, 214 pages : illustrations (chiefly color) ; 27 cm.
 Summary

 Introduction: Some motivating questions The CauchyKovalevskaya theorem with estimates Remarks on the CauchyKovalevskaya theorem Zerner's theorem The method of globalizing families Holmgren's uniqueness theorem The continuity method of F. John The BonySchapira theorem Applications of the BonySchapira theorem: Part I  Vekua hulls Applications of the BonySchapira theorem: Part II  Szego's theorem revisited The reflection principle The reflection principle (continued) Cauchy problems and the Schwarz potential conjecture The Schwarz potential conjecture for spheres Potential theory on ellipsoids: Part I  The mean value property Potential theory on ellipsoids: Part II  There is no gravity in the cavity Potential theory on ellipsoids: Part III  The Dirichlet problem Singularities encountered by the analytic continuation of solutions to the Dirichlet problem An introduction to J. Leray's principle on propagation of singularities through $\mathbb{C}^n$ Global propagation of singularities in $\mathbb{C}^n$ Quadrature domains and Laplacian growth Other varieties of quadrature domains Bibliography Index.
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QA3 .A4 V.232  Unknown 
 Kaltenbacher, Barbara, author.
 Cham, Switzerland : Birkhäuser, [2018]
 Description
 Book — xiii, 307 pages : illustrations (some color) ; 25 cm.
 Summary

 An introduction to a fluidstructure model. Linear parabolichyperbolic fluidstructure interaction models. Flowplate interactions: wellposedness and longtime behavior. Some aspects in nonlinear acoustics coupling and shape optimization.
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TA357.5 .F58 K35 2018  Unknown 
 Cherniha, Roman, author.
 Boca Raton, FL : CRC Press, Taylor & Francis Group, [2018]
 Description
 Book — xix, 240 pages ; 24 cm.
 Summary

 1. Introduction.
 2. Lie symmetries of reactiondiffusionconvection equations.
 3. Conditional symmetries of reactiondiffusionconvection equations.
 4. Exact solutions of reactiondiffusionconvection equations.
 5. Method additional generating conditions for constructing exact solutions.
 6. Concluding remarks.
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QA377 .C444 2018  Unknown 
 Cambridge ; New York, NY : Cambridge University Press, 2018.
 Description
 Book — ix, 326 pages ; 24 cm.
 Summary

 Preface Charles L. Fefferman, James C. Robinson and Jose L. Rodrigo
 1. Remarks on recent advances concerning boundary effects and the vanishing viscosity limit of the NavierStokes equations Claude Bardos
 2. Timeperiodic flow of a viscous liquid past a body Giovanni P. Galdi and Mads Kyed
 3. The RayleighTaylor instability in buoyancydriven variable density turbulence John D. Gibbon, Pooja Rao and ColmCille P. Caulfield
 4. On localization and quantitative uniqueness for elliptic partial differential equations Guher Camliyurt, Igor Kukavica and Fei Wang
 5. Quasiinvariance for the NavierStokes equations Koji Ohkitani
 6. Leray's fundamental work on the NavierStokes equations: a modern review of 'Sur le mouvement d'un liquide visqueux emplissant l'espace' Wojciech S. Ozanski and Benjamin C. Pooley
 7. Stable mild NavierStokes solutions by iteration of linear singular Volterra integral equations Reimund Rautmann
 8. Energy conservation in the 3D Euler equations on T2 x R+ James C. Robinson, Jose L. Rodrigo and Jack W. D. Skipper
 9. Regularity of NavierStokes flows with bounds for the velocity gradient along streamlines and an effective pressure Chuong V. Tran and Xinwei Yu
 10. A direct approach to Gevrey regularity on the halfspace Igor Kukavica and Vlad Vicol
 11. Weakstrong uniqueness in fluid dynamics Emil Wiedemann.
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QA374 .P3484 2019  Unknown 
 Pinzari, Gabriella, 1966 author.
 Providence, RI : American Mathematical Society, 2018.
 Description
 Book — v, 92 pages ; 24 cm.
 Summary

 Background and results Kepler maps and the Perihelia reduction The Pmap and the planetary problem Global Kolmogorov tori in the planetary problem Proofs Appendix A. Computing the domain of holomorphy Appendix B. Proof of Lemma 3.2 Appendix C. Checking the nondegeneracy condition Appendix D. Some results from perturbation theory Appendix E. More on the geometrical structure of the Pcoordinates, compared to Deprit's coordinates Bibliography.
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Shelved by Series title NO.1218  Unknown 
 Kalnins, E. G., author.
 Bristol, UK : IOP Publishing, [2018]
 Description
 Book — 1 volume (various pagings) : illustrations ; 27 cm.
 Summary

Separation of variables methods for solving partial differential equations are of immense theoretical and practical importance in mathematical physics. They are the most powerful tool known for obtaining explicit solutions of the partial differential equations of mathematical physics. The purpose of this book is to give an uptodate presentation of the theory of separation of variables and its relation to superintegrability. Collating and presenting it in a unified, updated and a more accessible manner, the results scattered in the literature that the authors have prepared is an invaluable resource for mathematicians and mathematical physicists in particular, as well as science, engineering, geological and biological researchers interested in explicit solutions.
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QA377 .K357 2018  Unavailable Ask at circulation desk 
13. Singular perturbations and boundary layers [2018]
 Gie, GungMin, author.
 Cham, Switzerland : Springer, [2018]
 Description
 Book — xviii, 412 pages ; 25 cm.
 Summary

 Singular Perturbations in Dimension One
 Introduction
 Regular and Singular Perturbations
 ReactionDiffusion Equations in 1D
 Convergence by Energy Methods
 Thickness of the Boundary Layer and the Boundary Layer Correctors
 Inner and Outer Expansions : The Higher Orders
 Higher Order Regularity and Convergence
 ConvectionDiffusion Equations in 1D
 Higher Order Regularity and Convergence
 Problem with a Variable Coefficient b(x)
 Singular Perturbations in Higher Dimensions in a Channel
 Introduction
 ReactionDiffusion Equations in a Channel : Ordinary Boundary Layers
 Energy Method
 Boundary Layer Analysis
 Outer and Inner Expansions
 Some Lemmas
 Outer and Inner Expansions (Continued)
 Higher Order Regularity and Convergence
 ConvectionDiffusion Equations in a Channel : Parabolic Boundary Layers
 ConvectionDiffusion Equations in Higher Dimensions
 Introduction of the Parabolic Boundary Layers (PBL)
 Outer Expansions
 Inner Expansions
 The Approximation Results
 Higher Order Regularity and Convergence
 Elements of Differential Geometry
 A Curvilinear Coordinate System Adapted to the Boundary
 Examples of the Curvilinear System for Some Special Geometries
 ReactionDiffusion Equations in a Curved Domain
 Parabolic Equations in a Curved Domain
 Analysis of the Initial Layer : The Case of IllPrepared Initial Data
 Corner Layers and Turning Points for ConvectionDiffusion Equations
 ConvectionDiffusion Equations in a Rectangular Domain
 Parabolic Boundary Layers (PBL)
 Ordinary Boundary Layers (OBL)
 Ordinary Corner Layers (OCL)
 Convergence Theorem
 Parabolic Boundary Layers (PBL) Near y = 0
 Elliptic Boundary Layers (EBL) Near y = 0 and x = 1
 Ordinary Boundary Layers (OBL) Near x = 0
 Ordinary Corner Layers (OCL) Near y = 0 and x = 0
 Elliptic Corner Layers (ECL) Near y = 0 and x = 0
 Convergence Theorem
 ConvectionDiffusion Equations in a Bounded Interval with a Turning Point
 The Outer Expansion
 Definition of the Correctors at All Orders
 The Case of f, b Compatible
 The Case of f, b Noncompatible
 ConvectionDiffusion Equations in a Circular Domain with Characteristic Point Layers
 The Compatible Case
 Compatibility Conditions
 Boundary Fitted Coordinates
 The Case of the Generic Taylor Monomials
 Parabolic Boundary Layers at the Characteristic Points
 Characteristic Point Layers at (±1,0)
 Convergence Analysis
 The General Case
 The NavierStokes Equations in a Periodic Channel
 The Stokes Equations with the NoSlip Boundary Condition
 Asymptotic Expansion of the Solutions to the Stokes Problem
 Estimates on the Corrector
 Convergence Result
 The NavierStokes Equations with the Noncharacteristic Boundary Condition
 The Linear Case
 Convergence Result
 Estimates on the Pressure
 Existence of Solution of the Linearized Euler Equations
 The Nonlinear Case
 Convergence Result
 The NavierStokes Equations with the NavierFriction Boundary Condition
 The Boundary Layer Corrector
 Estimates on the Corrector
 Convergence Results
 Remark on the Uniform Convergence
 The NavierStokes Equations in a Curved Domain
 Notations and Differential Geometry
 The Stokes Equations
 Well Posedness of the Limit Problem
 Estimates on the Corrector
 Remarks on the Higher Order Expansions
 The NavierStokes Equations Linearized Around a Stationary Euler Flow
 Asymptotic Expansion of the Solutions to the LNSE
 Estimates on the Corrector
 Convergence Results
 The NavierStokes Equations with the Noncharacteristic Boundary Condition
 Model Equations with the Homogenized Boundary Conditions and Main Result
 The NavierStokes Equations with the Generalized Navier Boundary Conditions
 Error Analysis and Convergence Results
 Circularly Symmetric Flows in a Disk Domain
 Proof of Theorem 7.6
 Elements of Functional Analysis
 Introduction
 Function Spaces
 Some Useful Inequalities
 The Hölder Inequality
 The Poincaré Inequality
 The Gronwall Inequality
 The Hardy Inequalities
 The Chebyshev Inequality
 The Jensen Inequality
 The Korn Inequality
 The Agmon Inequalities
 Existence Results
 The LaxMilgram Theorem
 The HilleYosida Theorem
 References
 Index.
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QA379 .G54 2018  Unknown 
 Kunoth, Angela, 1963 author.
 Cham, Switzerland : Springer ; [Firenze] : Fondazione CIME Roberto Conti, [2018]
 Description
 Book — ix, 315 pages : illustrations (some color) ; 24 cm.
 Summary

 Foundations of Spline Theory: BSplines, Spline Approximation, and Hierarchical Refinement. Adaptive Multiscale Methods for the Numerical Treatment of Systems of PDEs. Generalized Locally Toeplitz Sequences: A Spectral Analysis Tool for Discretized Differential Equations. Isogeometric Analysis: Mathematical and Implementational Aspects, with Applications.
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Shelved by Series title V.2219  Unknown 
 Qin, Yuming, author.
 [Basel] : Birkhäuser ; Cham, Switzerland : Springer International Publishing, [2017]
 Description
 Book — xiii, 564 pages ; 25 cm.
 Summary

 Preface
 Integral inequalities
 The classical bellmangronwall inequality
 Linear generalizations of the bellmangronwall inequalities
 Simultaneous inequalities
 The inequalities of Henry's type
 The Henry inequalities
 Henrygronwallbihari type integral inequalities
 The ouyang and pachapatte type integral inequalities
 Henry type inequalities with multiple integrals
 Integral inequalities leading to upper bounds and decay rates
 Differential and difference inequalities
 Differential inequalities leading to uniform bounds
 Differential inequalities leading to asymptotic behavior
 Differential and difference inequalities leading to decay rates
 Differential inequalities for nonexistence of global solutions
 Attractors for evolutionary differential equations
 Maximal attractors for nonlinear reactiondiffusion equations
 An initial boundary value problem
 Attractors for autonomous differential equations with delay
 H2 estimates for the cahnhilliard equation
 Global existence, exponential stability and uniform attractors for a nonautonomous wave equation
 Global existence and exponential stability
 Uniform attractors
 Global existence and uniqueness for evolutionary PDEs
 A weakly coupled parabolic system
 A convection equation with anomalous diffusion
 Estimates on solutions for semilinear heat equations
 Global existence decay estimates for a quasilinear parabolic system
 Global existence and uniqueness for abstract evolutionary differential equations
 Global existence of solutions to abstract evolutionary equations
 Equivalent solutions
 Uniqueness of solutions for differential equations in a Hilbert space
 Dissipative estimates for PDEs
 Global existence and asymptotic behavior for equations of fluid dynamics
 Asymptotic behavior for the 2D homogeneous incompressible navierstokes equations
 Introduction
 Largetime behavior for nonhomogeneous incompressible navierstokes equations
 A uniform lower bound for density of a 1D viscous compressible barotropic fluid equation
 Uniform bounds on specific volume for symmetrically quasilinear viscous barotropic fluid equations
 Stabilization for the 1D compressible navierstokes equations
 Asymptotic behavior of solutions for parabolic and elliptic equations
 Decay estimates for flows in a semiinfinite straight channel
 Uniform estimates
 Exponential decay
 Exact rates of convergence for nonlinear PDEs
 Nonlinear diffusion equations and porous medium equations
 Largetime behavior of solutions for parabolic equations
 Largetime behavior for semilinear parabolic equations
 Largetime behavior of solutions for parabolic equations
 Asymptotic behavior of solutions to hyperbolic equations
 Estimates on approximated solutions for 1D nonlinear wave equations
 Estimates on approximated solutions of wave equations
 Polynomial decay rate for nonlinear wave equations
 Decay rate estimates for dissipative wave equations
 Energy decay for a dissipative anisotropic elastic system
 Stabilization of weakly coupled wave equations
 Energy decay rates of nonlinear dissipative hyperbolic systems
 Asymptotic behavior of solutions to thermoviscoelastic, thermoviscoelastoplastic and thermomagnetoelastic equations
 Largetime behavior for thermoviscoelastic systems
 A thermoviscoelastoplastic system with hysteresis
 Thermoelastoplastic constitutive laws
 Asymptotic behavior for a linear thermomagnetoelastic system
 Blowup of Solutions to nonlinear hyperbolic equations and hyperbolicelliptic inequalities
 Blowup of solutions for nonlinear wave equations
 Blowup of solutions to semilinear wave equations
 Blowup of solutions to nonlinear hyperbolic equations
 Breakdown of solutions to semilinear wave equations □u + u[subscript]t = [verticle line]u[verticle line][superscript]1+α
 Blowup of solutions to nonlinear wave equations with damping
 Blowup of solutions to wave equations with a nonlinear dissipation
 Blowup of solutions to the quasilinear hyperbolicelliptic inequalities
 Blowup of solutions to abstract equations and thermoelastic equations
 Blowup of solutions to abstract nonlinear equations
 Blowup of solutions to a class of abstract nonlinear equations
 Blowup of solutions to formally parabolic equations
 Blowup of solutions to evolutionary PDEs
 Blowup of solutions to initial boundary value problems
 Blowup of solutions to the cauchy problem in nonlinear onedimensional thermoelasticity
 Appendix : basic inequalities
 The young inequalities
 The hausdorffyoung inequalities and the young inequalities
 The hölder inequalities
 The minkowski inequalities
 The Jensen inequalities
 Bibliography
 Index.
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QA377 .Q56 2017  Unknown 
 Lê, Nam Q., author.
 Cham, Switzerland : Springer, [2017]
 Description
 Book — vii, 228 pages : illustration ; 24 cm.
 Summary

 Part I. The second boundary value problem of the prescribed affine mean curvature equation and related linearized MongeAmpère equation / Nam Q. Le
 Part II. Dynamical properties of HamiltonJacobi equations via the nonlinear adjoint method : large time behavior and discounted approximation / Hiroyoshi Mitake and Hung V. Tran.
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Shelved by Series title V.2183  Unknown 
 Langtangen, Hans Petter, 1962 author.
 Cham, Switzerland : Springer Open, [2017]
 Description
 Book — xxiii, 499 pages ; 27 cm.
 Summary

 Preface. Vibration ODEs. Wave Equations. Diffusion equations. Advectiondominated equations. Nonlinear problems. Useful formulas. Truncation error analysis. Software engineering: wave equation model. References. Index.
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QA377 .L35 2017  Unknown 
 David, Guy, 1957 author.
 Paris : Société Mathématique de France, 2017.
 Description
 Book — ii, 203 pages ; 24 cm.
 Online
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Shelved by Series title V.392  Unknown 
 Isakov, Victor, 1947 author.
 Third Edition.  Cham : Springer, [2017]
 Description
 Book — xv, 406 pages : illustrations ; 24 cm.
 Summary

 Preface to the third edition
 Preface to the second edition
 Preface to the first edition
 Inverse problems
 The inverse problem of gravimetry
 The inverse conductivity problem
 Inverse scattering
 Tomography and the inverse seismic problem
 Inverse spectral problems
 IllPosed problems and regularization
 Well and Illposed problems
 Conditional correctness : regularization
 Construction of regularizers
 Convergence of regularization algorithms
 Iterative algorithms
 Uniqueness and stability in the cauchy problem
 The backward parabolic equation
 General carleman estimates and the cauchy problem
 Elliptic and parabolic equations
 Hyperbolic and schrödinger equations
 Systems of partial differential equations
 Open problems
 Elliptic equations : single boundary measurements
 Results on elliptic boundary value problems
 Inverse gravimetry
 Reconstruction of lowerorder terms
 The inverse conductivity problem
 Methods of the theory of one complex variable
 Linearization of the coefficient problem
 Some problems of detection of defects
 Open problems
 Elliptic equations : many boundary measurements
 The dirichlettoneumann map and the cauchy set
 Boundary reconstruction
 Completeness of products of solutions of PDE
 Uniqueness and stability in ...
 Recovery of several coefficients
 The plane case
 Nonlinear equations
 Transmission problems
 Maxwell's and elasticity systems
 Open problems
 Scattering problems and stationary waves
 Direct scattering
 From A to near field
 The inverse source problem with many wave numbers
 Scattering by a medium
 Scattering by obstacles
 Open problems
 Integral geometry and tomography
 The radon transform and its inverse
 The energy integral methods
 Boman's counterexample
 The transport equation
 Open problems
 Hyperbolic problems
 Introduction
 The onedimensional case
 Single boundary measurements
 Many measurements : the use of beam solutions
 Many measurements : methods of boundary control
 Recovery of discontinuity of the speed of propagation
 Open problems
 Inverse parabolic problems
 Introduction
 Final overdetermination
 Lateral overdetermination : single measurements
 The inverse problem of option pricing
 Lateral overdetermination : many measurements
 Discontinuous principal coefficient and recovery of a domain
 Nonlinear equations
 Interior sources
 Open problems
 Some numerical methods
 Numerics for the cauchy problem
 Linearization
 Relaxation methods
 Layer stripping
 Range test algorithms
 Discrete methods
 Appendix : function spaces
 References
 Index.
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QA374 .I83 2017  Unknown 
 Figalli, Alessio, 1984 author.
 Zürich : European Mathematical Society, [2017]
 Description
 Book — x, 200 pages : illustrations ; 24 cm.
 Summary

"The MongeAmpère equation is one of the most important partial differential equations, appearing in many problems in analysis and geometry. This monograph is a comprehensive introduction to the existence and regularity theory of the MongeAmpère equation and some selected applications; the main goal is to provide the reader with a wealth of results and techniques he or she can draw from to understand current research related to this beautiful equation. The presentation is essentially selfcontained, with an appendix wherein one can find precise statements of all the results used from different areas (linear algebra, convex geometry, measure theory, nonlinear analysis, and PDEs). This book is intended for graduate students and researchers interested in nonlinear PDEs: explanatory figures, detailed proofs, and heuristic arguments make this book suitable for selfstudy and also as a reference."  Back cover.
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QA377 .F54 2017  Unknown 