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Titlebook: Evolution PDEs with Nonstandard Growth Conditions; Existence, Uniquenes Stanislav Antontsev,Sergey Shmarev Book 2015 The Editor(s) (if appl

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书目名称Evolution PDEs with Nonstandard Growth Conditions
副标题Existence, Uniquenes
编辑Stanislav Antontsev,Sergey Shmarev
视频video
概述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 d
丛书名称Atlantis Studies in Differential Equations
图书封面Titlebook: Evolution PDEs with Nonstandard Growth Conditions; Existence, Uniquenes Stanislav Antontsev,Sergey Shmarev Book 2015 The Editor(s) (if appl
描述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.
出版日期Book 2015
关键词Blow-up; Localization of solutions in space and time; Nonlinear parabolic and hyperbolic equations; Non
版次1
doihttps://doi.org/10.2991/978-94-6239-112-3
isbn_ebook978-94-6239-112-3Series ISSN 2214-6253 Series E-ISSN 2214-6261
issn_series 2214-6253
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature B.V. 201
The information of publication is updating

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The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature B.V. 201
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Evolution PDEs with Nonstandard Growth Conditions978-94-6239-112-3Series ISSN 2214-6253 Series E-ISSN 2214-6261
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,Mögliche Ergänzungen und Erweiterungen,gation of disturbances from the problem data in space and vanishing in a finite time. In this chapter, we study the localization properties of solutions to gegenerate quasilinear parabolic PDEs with variable nonlinearity.
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,Mögliche Ergänzungen und Erweiterungen,gation of disturbances from the problem data in space and vanishing in a finite time. In this chapter, we study the localization properties of solutions to gegenerate quasilinear parabolic PDEs with variable nonlinearity.
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Versionen- und Konfigurationenverwaltung,This chapter is devoted to a brief exposition of the theory of function spaces that provide the analytic framework for the study of PDEs with variable nonlinearity.
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