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Singularities in Linear Wave Propagation

  • Authors
  • Lars Gårding

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

Table of contents

About this book

Introduction

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.

Keywords

differential operator integral manifold operator pseudodifferential operator pseudodifferential operators

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0073088
  • Copyright Information Springer-Verlag Berlin Heidelberg 1987
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-18001-2
  • Online ISBN 978-3-540-47216-2
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site