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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Bibliographic Information

Book Title: Singularities in Linear Wave Propagation
Authors: Lars Gårding
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0073088
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1987
Softcover ISBN: 978-3-540-18001-2Published: 10 July 1987
eBook ISBN: 978-3-540-47216-2Published: 15 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VI, 126
Topics: Analysis

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Table of contents (8 chapters)

Front Matter

Back Matter

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