Evolution PDEs with Nonstandard Growth Conditions: Existence, Uniqueness, Localization, Blow-up
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...
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2015
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oai:scholar.dlu.edu.vn:DLU123456789-578812023-11-11T05:55:05Z Evolution PDEs with Nonstandard Growth Conditions: Existence, Uniqueness, Localization, Blow-up Antontsev, Stanislav Shmarev, Sergey Quasilinearization Differential equations, Hyperbolic Differential equations, Parabolic 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. 2015-08-31T09:45:15Z 2015-08-31T09:45:15Z 2015 Book 978-94-6239-112-3 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57881 en application/pdf Springer |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| topic |
Quasilinearization Differential equations, Hyperbolic Differential equations, Parabolic |
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Quasilinearization Differential equations, Hyperbolic Differential equations, Parabolic Antontsev, Stanislav Shmarev, Sergey Evolution PDEs with Nonstandard Growth Conditions: Existence, Uniqueness, Localization, Blow-up |
| description |
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. |
| format |
Book |
| author |
Antontsev, Stanislav Shmarev, Sergey |
| author_facet |
Antontsev, Stanislav Shmarev, Sergey |
| author_sort |
Antontsev, Stanislav |
| title |
Evolution PDEs with Nonstandard Growth Conditions:
Existence, Uniqueness, Localization, Blow-up |
| title_short |
Evolution PDEs with Nonstandard Growth Conditions:
Existence, Uniqueness, Localization, Blow-up |
| title_full |
Evolution PDEs with Nonstandard Growth Conditions:
Existence, Uniqueness, Localization, Blow-up |
| title_fullStr |
Evolution PDEs with Nonstandard Growth Conditions:
Existence, Uniqueness, Localization, Blow-up |
| title_full_unstemmed |
Evolution PDEs with Nonstandard Growth Conditions:
Existence, Uniqueness, Localization, Blow-up |
| title_sort |
evolution pdes with nonstandard growth conditions:
existence, uniqueness, localization, blow-up |
| publisher |
Springer |
| publishDate |
2015 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57881 |
| _version_ |
1819775350941417472 |