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portada singularities in linear wave propagation
Type
Physical Book
Publisher
Author
Language
English
Pages
125
ISBN
354018001X
ISBN13
9783540180012

singularities in linear wave propagation

Garding (Author) · Springer · Physical Book

singularities in linear wave propagation - garding

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Synopsis "singularities in linear wave propagation"

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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