Singularities in Linear Wave Propagation (Lecture Notes in Mathematics, 1241)

Garding, Lars

ISBN 10: 354018001X ISBN 13: 9783540180012

Published by Springer, 1987

Language: English

Condition: New Soft cover

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Bibliographic Details

Title

Singularities in Linear Wave Propagation (Lecture Notes in Mathematics, 1241)

Publisher

Springer

Publication Date

1987

Language

English

ISBN 10

354018001X

ISBN 13

9783540180012

Binding

Soft cover

Condition

New

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About this title

Synopsis

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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