%{search_type} search results

• The pullback attractor.- Existence results for pullback attractors.- Continuity of attractors.- Finite-dimensional attractors.- Gradient semigroups and their dynamical properties.- Semilinear Differential Equations.- Exponential dichotomies.- Hyperbolic solutions and their stable and unstable manifolds.- A non-autonomous competitive Lotka-Volterra system.- Delay differential equations.-The Navier-Stokes equations with non-autonomous forcing.- Applications to parabolic problems.- A non-autonomous Chafee-Infante equation.- Perturbation of diffusion and continuity of attractors with rate.- A non-autonomous damped wave equation.- References.- Index.-.
• (source: Nielsen Book Data)

The book treats the theory of attractors for non-autonomous dynamical systems. The aim of the book is to give a coherent account of the current state of the theory, using the framework of processes to impose the minimum of restrictions on the nature of the non-autonomous dependence. The book is intended as an up-to-date summary of the field, but much of it will be accessible to beginning graduate students. Clear indications will be given as to which material is fundamental and which is more advanced, so that those new to the area can quickly obtain an overview, while those already involved can pursue the topics we cover more deeply.
(source: Nielsen Book Data)

• Autonomous theory: Semigroups and global attractors Upper and lower semicontinuity Topological structural stability of attractors Neighborhood of a critical element Morse-Smale semigroups Non-autonomous theory: Non-autonomous dynamical systems and their attractors Upper and lower semicontinuity Topological structural stability Neighborhood of a global hyperbolic solution Non-autonomous Morse-Smale dynamical systems Bibliography List of figures Index.
• (source: Nielsen Book Data)

This book provides a comprehensive study of how attractors behave under perturbations for both autonomous and non-autonomous problems. Furthermore, the forward asymptotics of non-autonomous dynamical systems is presented here for the first time in a unified manner. When modelling real world phenomena imprecisions are unavoidable. On the other hand, it is paramount that mathematical models reflect the modelled phenomenon, in spite of unimportant neglectable influences discounted by simplifications, small errors introduced by empirical laws or measurements, among others. The authors deal with this issue by investigating the permanence of dynamical structures and continuity properties of the attractor. This is done in both the autonomous (time independent) and non-autonomous (time dependent) framework in four distinct levels of approximation: the upper semicontinuity, lower semicontinuity, topological structural stability and geometrical structural stability. This book is aimed at graduate students and researchers interested in dissipative dynamical systems and stability theory, and requires only a basic background in metric spaces, functional analysis and, for the applications, techniques of ordinary and partial differential equations.
(source: Nielsen Book Data)

• Nonexistence of positive classical solutions for the nonlinear Schrödinger equation with unbounded or decaying weights
• Hylomorphic solitons for the generalized KdV equation
• A consequence of Djairo's Lectures on the Ekeland variational principle
• Waveguide solutions for a nonlinear Schrödinger equation with mixed dispersion
• Fibers and global geometry of functions
• Existence of infinitely many continua of radial singular polytropes with gain-loss function
• Branches of positive solutions for subcritical elliptic equations
• Multiple solutions to anisotropic critical and supercritical problems in symmetric domains
• Compactness and non-compactness for Yamabe-type problems
• Asymptotics of ground states for fractional Hénon systems
• Positive solutions for certain classes of fourth-order ordinary elliptic Systems
• Remarks on the behavior of the best Sobolev constants
• Bubbling solutions to an anisotropic Hénon equation
• The sub-supersolution method for Kirchhoff systems: applications
• Nodal structure of the solution of a cooperative elliptic system
• Nonquadraticity condition on superlinear problems
• Radial solutions of a Neumann problem coming from a burglary model
• Modeling suspension bridges through the von Kármán quasilinear plate equations
• Nonlinear Klein-Gordon-Maxwell systems with Neumann boundary conditions on a Riemannian manifold with boundary
• Asymptotic analysis for radial sign-changing solutions of the Brezis-Nirenberg problem in low dimensions
• Critical and noncritical regions on the critical hyperbola
• A nonlinear Steklov problem arising in corrosion modeling
• Remarks on the p-laplacian on thin domains
• Spatial trajectories and convergence to traveling fronts for bistable reaction-diffusion equations
• Regularity estimates for fully non linear elliptic equations which are asymptotically convex.

This volume of contributions pays tribute to the life and work of Djairo Guedes de Figueiredo on the occasion of his 80th birthday. The articles it contains were born out of the ICMC Summer Meeting on Differential Equations - 2014 Chapter, also dedicated to de Figueiredo and held at the Universidade de São Paulo at São Carlos, Brazil from February 3-7, 2014. The contributing authors represent a group of international experts in the field and discuss recent trends and new directions in nonlinear elliptic partial differential equations and systems. Djairo Guedes de Figueiredo has had a very active scientific career, publishing 29 monographs and over one hundred research articles. His influence on Brazilian mathematics has made him one of the pillars of the subject in that country. He had a major impact on the development of analysis, especially in its application to nonlinear elliptic partial differential equations and systems throughout the entire world. The articles collected here pay tribute to him and his legacy, and are intended for graduate students and researchers in mathematics and related areas who are interested in nonlinear elliptic partial differential equations and systems.