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Evolution PDEs with Nonstandard Growth Conditions Existence, Uniqueness, Localization, Blow-up

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This monograph offers the reader a treatment of the theory of evolution PDEs with nonstandard growth conditions. This class includes parabolic and hyperbolic equations with variable or anisotropic nonlinear structure. We develop methods for the study of such equations and present a detailed account of recent results. An overview of other approaches to the study of PDEs of this kind is provided. The presentation is focused on the issues of existence and uniqueness of solutions in appropriate function spaces and on the study of the specific qualitative properties of solutions, such as localization in space and time, extinction in a finite time and blow-up, or nonexistence of global in time solutions. Special attention is paid to the study of the properties intrinsic to solutions of equations with nonstandard growth.

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Detail Information

Series Title

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Call Number

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Publisher

: ., 2015

Collation

1 b/w illustrations

Language

English

ISBN/ISSN

978-94-6239-112-3

Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

-

Subject(s)

Differential equations
Functional Analysis

Specific Detail Info

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Statement of Responsibility

Stanislav Antontsev, Sergey Shmarev

Other Information

Cataloger

agus

Source

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