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Evolution Pdes with Nonstandard Growth Conditions: Existence, Uniqueness, Localization, Blow-Up

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Evolution PDEs with Nonstandard Growth Conditions: Existence, Uniqueness, Localization, Blow-up - Antontsev, Stanislav, and Shmarev, Sergey
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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 ...

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Evolution PDEs with Nonstandard Growth Conditions: Existence, Uniqueness, Localization, Blow-up 2015, Atlantis Press (Zeger Karssen), Paris

ISBN-13: 9789462391116

Hardcover