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Atlantis Studies in Differential Equations

Evolution PDEs with Nonstandard Growth Conditions

Existence, Uniqueness, Localization, Blow-up

Authors: Antontsev, Stanislav, Shmarev, Sergey

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  • The first systematic exposition of the theory of evolution PDEs with nonstandard growth conditions
  • Specific tools for the study of PDEs with nonstandard growth are developed
  • New localization effects due to anisotropy and variable nonlinearity are discovered
  • A number of new not previously published results is included
  • A review of other approaches and known results is provided
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eBook 79,72 €
price for Spain (gross)
  • ISBN 978-94-6239-112-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 98,79 €
price for Spain (gross)
  • ISBN 978-94-6239-111-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.

Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook 79,72 €
price for Spain (gross)
  • ISBN 978-94-6239-112-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 98,79 €
price for Spain (gross)
  • ISBN 978-94-6239-111-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Evolution PDEs with Nonstandard Growth Conditions
Book Subtitle
Existence, Uniqueness, Localization, Blow-up
Authors
Series Title
Atlantis Studies in Differential Equations
Series Volume
4
Copyright
2015
Publisher
Atlantis Press
Copyright Holder
Atlantis Press and the author(s)
eBook ISBN
978-94-6239-112-3
DOI
10.2991/978-94-6239-112-3
Hardcover ISBN
978-94-6239-111-6
Series ISSN
2214-6253
Edition Number
1
Number of Pages
XVII, 409
Number of Illustrations
1 b/w illustrations
Topics