ENGLISH

Singularities in Linear Wave Propagation

By Lars Garding

Book information

Publisher
Springer-Verlag
Year
1987
ISBN
9780387180014, 0-3-8-7-1-8-0-0-1-X, 354018001X
LCC
QA3 .L28 no. 1241,QA377 .L28 no. 1241
Open Library ID
OL2387346M
Language
english
Format
PDF
Filesize
4 MB (4463884 bytes)
Series
Lecture notes in mathematics 1241
Pages
128\128
Library
mexmat
Time added
2009-07-20 03:45:11

Description

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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