| 书目名称 | Propagation and Interaction of Singularities in Nonlinear Hyperbolic Problems |
| 编辑 | Michael Beals |
| 视频video | |
| 丛书名称 | Progress in Mathematics |
| 图书封面 |  |
| 描述 | This book developed from a series of lectures I gave at the Symposium on Nonlinear Microlocal Analysis held at Nanjing University in October. 1988. Its purpose is to give an overview of the use of microlocal analysis and commutators in the study of solutions to nonlinear wave equations. The weak singularities in the solutions to such equations behave up to a certain extent like those present in the linear case: they propagate along the null bicharacteristics of the operator. On the other hand. examples exhibiting singularities not present in the linear case can also be constructed. I have tried to present a crossection of both the regularity results and the singular examples. for problems on the interior of a domain and on domains with boundary. The main emphasis is on the case of more than one space dimen sion. since that case is treated in great detail in the paper of Rauch-Reed 159]. The results presented here have for the most part appeared elsewhere. and are the work of many authors. but a few new examples and proofs are given. I have attempted to indicate the essential ideas behind the arguments. so that only some of the results are proved in full detail. It is hoped that th |
| 出版日期 | Book 1989 |
| 关键词 | DEX; Microlocal analysis; character; equation; interaction; online; operator; proof; university; wave; wave eq |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4612-4554-4 |
| isbn_softcover | 978-0-8176-3449-0 |
| isbn_ebook | 978-1-4612-4554-4Series ISSN 0743-1643 Series E-ISSN 2296-505X |
| issn_series | 0743-1643 |
| copyright | Birkhäuser Boston 1989 |
发表于 2025-3-21 16:24:28
