A Stability Technique for Evolution Partial Differential Equations - A Dynamical Systems Approach (Hardcover, 2004 ed.)

This book introduces a new, state-of-the-art method for the study of the asymptotic behavior of solutions to evolution partial differential equations; much of the text is dedicated to the application of this method to a wide class of nonlinear diffusion equations. The underlying theory hinges on a new stability result, formulated in the abstract setting of infinite-dimensional dynamical systems, which states that under certain hypotheses, the omega-limit set of a perturbed dynamical system is stable under arbitrary asymptotically small perturbations.The Stability Theorem is examined in detail in the first chapter, followed by a review of basic results and methods---many original to the authors---for the solution of nonlinear diffusion equations. Further chapters provide a self-contained analysis of specific equations, with carefully-constructed theorems, proofs, and references. In addition to the derivation of interesting limiting behaviors, the book features a variety of estimation techniques for solutions of semi- and quasilinear parabolic equations.Written by established mathematicians at the forefront of the field, this work is a blend of delicate analysis and broad application

General

Imprint:	Birkhauser Boston
Country of origin:	United States
Series:	Progress in Nonlinear Differential Equations and Their Applications, 56
Release date:	December 2003
First published:	2004
Authors:	Victor A. Galaktionov • Juan Luis Vazquez
Dimensions:	235 x 155 x 23mm (L x W x T)
Format:	Hardcover
Pages:	377
Edition:	2004 ed.
ISBN-13:	978-0-8176-4146-7
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Promotions
LSN:	0-8176-4146-7
Barcode:	9780817641467

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