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

Garding, Lars

 
9783540180012: Singularities in Linear Wave Propagation (Lecture Notes in Mathematics, 1241)

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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9780387180014: Singularities in Linear Wave Propagation (Lecture Notes in Mathematics)

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ISBN 10:  038718001X ISBN 13:  9780387180014
Publisher: Springer Verlag
Softcover