书目名称 | Singularities in Linear Wave Propagation |
编辑 | Lars Gårding |
视频video | |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | These lecture notes stemming from a course given at the Nankai Institute for Mathematics, Tianjin, in 1986 center on the construction of parametrices for fundamental solutions of hyperbolic differential and pseudodifferential operators. The greater part collects and organizes known material relating to these constructions. The first chapter about constant coefficient operators concludes with the Herglotz-Petrovsky formula with applications to lacunas. The rest is devoted to non-degenerate operators. The main novelty is a simple construction of a global parametrix of a first-order hyperbolic pseudodifferential operator defined on the product of a manifold and the real line. At the end, its simplest singularities are analyzed in detail using the Petrovsky lacuna edition. |
出版日期 | Book 1987 |
关键词 | differential operator; integral; manifold; operator; pseudodifferential operator; pseudodifferential oper |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0073088 |
isbn_softcover | 978-3-540-18001-2 |
isbn_ebook | 978-3-540-47216-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 1987 |