Code: 01558424

Singularities in Linear Wave Propagation

Name: Singularities in Linear Wave Propagation
Brand: Springer, Berlin
SKU: 01558424
Price: 25.87 EUR
Availability: InStock
Author: Lars Garding
ISBN: 9783540180012

by Lars Garding

Language: English
Binding: Paperback
Number of pages: 126
Publisher: Springer, Berlin
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Book 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.