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Evolution PDEs with nonstandard growth conditions : existence, uniqueness, localization, blow-up / Stanislav Antontsev, Sergey Shmarev
| Evolution PDEs with nonstandard growth conditions : existence, uniqueness, localization, blow-up / Stanislav Antontsev, Sergey Shmarev |
| Autore | Antontsev, Stanislav |
| Pubbl/distr/stampa | [Amsterdam], : Atlantis, 2015 |
| Descrizione fisica | XVII, 409 p. : ill. ; 24 cm |
| Altri autori (Persone) | Shmarev, Sergey |
| Soggetto topico |
35-XX - Partial differential equations [MSC 2020]
35Kxx - Parabolic equations and parabolic systems [MSC 2020] 35Lxx - Hyperbolic equations and hyperbolic systems [MSC 2020] |
| Soggetto non controllato |
Blow Up
Localization of solutions in space and time Nonlinear parabolic and hyperbolic equations Nonstandard growth conditions Partial differential equations Variable and anisotropic nonlinearity |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0114049 |
Antontsev, Stanislav
|
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| [Amsterdam], : Atlantis, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Evolution PDEs with nonstandard growth conditions : existence, uniqueness, localization, blow-up / Stanislav Antontsev, Sergey Shmarev
| Evolution PDEs with nonstandard growth conditions : existence, uniqueness, localization, blow-up / Stanislav Antontsev, Sergey Shmarev |
| Autore | Antontsev, Stanislav N. |
| Pubbl/distr/stampa | [Amsterdam], : Atlantis, 2015 |
| Descrizione fisica | XVII, 409 p. : ill. ; 24 cm |
| Altri autori (Persone) | Shmarev, Sergey |
| Soggetto topico |
35-XX - Partial differential equations [MSC 2020]
35Kxx - Parabolic equations and parabolic systems [MSC 2020] 35Lxx - Hyperbolic equations and hyperbolic systems [MSC 2020] |
| Soggetto non controllato |
Blow up
Localization of solutions in space and time Nonlinear parabolic and hyperbolic equations Nonstandard growth conditions Partial Differential Equations Variable and anisotropic nonlinearity |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00114049 |
|
Antontsev, Stanislav N.
|
||
| [Amsterdam], : Atlantis, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||