© 1987

Singularities in Linear Wave Propagation

  • Authors

Part of the Lecture Notes in Mathematics book series (LNM, volume 1241)

Table of contents

About this book


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.


differential operator integral manifold operator pseudodifferential operator pseudodifferential operators

Bibliographic information

  • Book Title Singularities in Linear Wave Propagation
  • Authors Lars Garding
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lecture Notes in Mathematics
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1987
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-18001-2
  • eBook ISBN 978-3-540-47216-2
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages VI, 126
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Analysis
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