Singularities in linear wave propagation /
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...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer-Verlag,
[1987]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1241. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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. |
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| Item Description: | "Subseries: Nankai Institute of Mathematics, Tianjin, P.R. China, volume 2." Electronic resource. |
| Physical Description: | 1 online resource (123 pages) : illustrations. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9783540472162 (electronic bk.) 3540472169 (electronic bk.) |
| ISSN: | 0075-8434 ; |