| 书目名称 | Superlinear Parabolic Problems |
| 副标题 | Blow-up, Global Exis |
| 编辑 | Prof. Dr. Pavol Quittner,Prof. Dr. Philippe Souple |
| 视频video | |
| 概述 | Examines the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems.Self-contained and up-to-date, taking special care on the didactical prepar |
| 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, whosestudy 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 have |
| 出版日期 | Textbook 2019Latest edition |
| 关键词 | A priori bounds; Cauchy problem; Dirichlet problem; blow-up; parabolic problem; partial differential equa |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-3-030-18222-9 |
| isbn_ebook | 978-3-030-18222-9Series ISSN 1019-6242 Series E-ISSN 2296-4894 |
| issn_series | 1019-6242 |
| copyright | Springer Nature Switzerland AG 2019 |
发表于 2025-3-21 17:01:44
