Name: a stability technique for evolution partial differential equations (en Inglés)
Price: 52.09 USD
Availability: InStock
Author: galaktionov,vázquez
ISBN: 9780817641467

portada a stability technique for evolution partial differential equations (en Inglés)

Formato

Libro Físico

Editorial

springer publishing map

Autor

galaktionov,vázquez

Idioma

Inglés

N° páginas

377

ISBN

0817641467

ISBN13

9780817641467

Categorías

Cálculo diferencial y ecuaciones

a stability technique for evolution partial differential equations (en Inglés)

Galaktionov,Vázquez (Autor) · springer publishing map · Libro Físico

Libro Físico

$ 52.09

$ 54.99

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Reseña del libro "a stability technique for evolution partial differential equations (en Inglés)"

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, appropriate for graduate students and researchers in physics and mathematics who have basic knowledge of pdes, ordinary differential equations, functional analysis, and some prior acquaintance with evolution equations. it is ideal for a course or seminar in evolution equations and asymptotics, and the books comprehensive index and bibliography will make it useful as a reference volume as well.