| 书目名称 | Nonlinear Evolution Operators and Semigroups | | 副标题 | Applications to Part | | 编辑 | Nicolae H. Pavel | | 视频video | | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | This research monograph deals with nonlinear evolution operators and semigroups generated by dissipative (accretive), possibly multivalued operators, as well as with the application of this theory to partial differential equations. It shows that a large class of PDE‘s can be studied via the semigroup approach. This theory is not available otherwise in the self-contained form provided by these Notes and moreover a considerable part of the results, proofs and methods are not to be found in other books. The exponential formula of Crandall and Liggett, some simple estimates due to Kobayashi and others, the characterization of compact semigroups due to Brézis, the proof of a fundamental property due to Ursescu and the author and some applications to PDE are of particular interest. Assuming only basic knowledge of functional analysis, the book will be of interest to researchers and graduate students in nonlinear analysis and PDE, and to mathematical physicists. | | 出版日期 | Book 1987 | | 关键词 | differential equation; functional analysis; partial differential equation; semigroup | | 版次 | 1 | | doi | https://doi.org/10.1007/BFb0077768 | | isbn_softcover | 978-3-540-17974-0 | | isbn_ebook | 978-3-540-47186-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 1987 |
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发表于 2025-3-21 16:06:59
