| 书目名称 | Superlinear Parabolic Problems | | 副标题 | Blow-up, Global Exis | | 编辑 | Pavol Quittner,Philippe Souplet | | 视频video | | | 概述 | Self-contained and up-to-date, taking special care on the didactical preparation of the material.Devoted to problems that are intensively studied but have not been treated so far in depth in the book | | 丛书名称 | Birkhäuser Advanced Texts‘ Basler Lehrbücher | | 图书封面 |  | | 描述 | .This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in particular, a number of reaction-diffusion systems which arise in various mathematical models, especially in chemistry, physics and biology. ..The first two chapters introduce to the field and enable the reader to get acquainted with the main ideas by studying simple model problems, respectively of elliptic and parabolic type. The subsequent three chapters are devoted to problems with more complex structure; namely, elliptic and parabolic systems, equations with gradient depending nonlinearities, and nonlocal equations. They include many developments which reflect several aspects of current research. Although the techniques introduced in the first two chapters provide efficient tools to attack some aspects of these problems, they often display new phenomena and specifically different behaviors, whose study requires new ideas. Many open problems are mentioned and commented...The book is self-contained and up-to-date, it has a high didactic quality. It is devoted to problems that are intensively studied but h | | 出版日期 | Textbook 20071st edition | | 关键词 | A-priori bounds; Cauchy problem; Dirichlet problem; blow-up; parabolic problem; partial differential equa | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-7643-8442-5 | | isbn_ebook | 978-3-7643-8442-5Series ISSN 1019-6242 Series E-ISSN 2296-4894 | | issn_series | 1019-6242 | | copyright | Birkhäuser Basel 2007 |
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发表于 2025-3-21 19:55:43
