- Book
- x, 281 pages : illustrations ; 27 cm.
- * Introduction* Where do PDE come from* First order scalar semilinear equations* First order scalar quasilinear equations* Distributions and weak derivatives* Second order constant coefficient PDE: Types and d'Alembert's solution of the wave equation* Properties of solutions of second order PDE: Propagation, energy estimates and the maximum principle* The Fourier transform: Basic properties, the inversion formula and the heat equation* The Fourier transform: Tempered distributions, the wave equation and Laplace's equation* PDE and boundaries* Duhamel's principle* Separation of variables* Inner product spaces, symmetric operators, orthogonality* Convergence of the Fourier series and the Poisson formula on disks* Bessel functions* The method of stationary phase* Solvability via duality* Variational problems* Bibliography* Index.
- (source: Nielsen Book Data)9781470418816 20160619
(source: Nielsen Book Data)9781470418816 20160619
- * Introduction* Where do PDE come from* First order scalar semilinear equations* First order scalar quasilinear equations* Distributions and weak derivatives* Second order constant coefficient PDE: Types and d'Alembert's solution of the wave equation* Properties of solutions of second order PDE: Propagation, energy estimates and the maximum principle* The Fourier transform: Basic properties, the inversion formula and the heat equation* The Fourier transform: Tempered distributions, the wave equation and Laplace's equation* PDE and boundaries* Duhamel's principle* Separation of variables* Inner product spaces, symmetric operators, orthogonality* Convergence of the Fourier series and the Poisson formula on disks* Bessel functions* The method of stationary phase* Solvability via duality* Variational problems* Bibliography* Index.
- (source: Nielsen Book Data)9781470418816 20160619
(source: Nielsen Book Data)9781470418816 20160619
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA377 .V38 2015 | Unknown On reserve at Li and Ma Science Library 2-hour loan |
MATH-173-01
- Course
- MATH-173-01 -- Theory of Partial Differential Equations I
- Instructor(s)
- Chatterjee, Saurav
2. Partial differential equations [1998]
- Book
- xvii, 662 p. : ill. ; 26 cm.
- Introduction Part I: Representation formulas for solutions: Four important linear partial differential equations Nonlinear first-order PDE Other ways to represent solutions Part II: Theory for linear partial differential equations: Sobolev spaces Second-order elliptic equations Linear evolution equations Part III: Theory for nonlinear partial differential equations: The calculus of variations Nonvariational techniques Hamilton-Jacobi equations Systems of conservation laws Appendices Bibliography Index.
- (source: Nielsen Book Data)9780821807729 20160528
(source: Nielsen Book Data)9780821807729 20160528
- Introduction Part I: Representation formulas for solutions: Four important linear partial differential equations Nonlinear first-order PDE Other ways to represent solutions Part II: Theory for linear partial differential equations: Sobolev spaces Second-order elliptic equations Linear evolution equations Part III: Theory for nonlinear partial differential equations: The calculus of variations Nonvariational techniques Hamilton-Jacobi equations Systems of conservation laws Appendices Bibliography Index.
- (source: Nielsen Book Data)9780821807729 20160528
(source: Nielsen Book Data)9780821807729 20160528
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA377 .E95 1998 | Unknown On reserve at Li and Ma Science Library 2-hour loan |
QA377 .E95 1998 | Unknown On reserve at Li and Ma Science Library 2-hour loan |
MATH-173-01
- Course
- MATH-173-01 -- Theory of Partial Differential Equations I
- Instructor(s)
- Chatterjee, Saurav