| 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 |  |
| 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 |
| doi | https://doi.org/10.2991/978-94-6239-112-3 |
| isbn_ebook | 978-94-6239-112-3Series ISSN 2214-6253 Series E-ISSN 2214-6261 |
| issn_series | 2214-6253 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature B.V. 201 |
发表于 2025-3-21 19:42:58
