Singularities in Linear Wave Propagation

Lars Garding

ISBN 10: 354018001X / ISBN 13: 9783540180012

Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Jul 1987, 1987

Beschreibung

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 132 pp. Englisch.

Bestandsnummer des Verkäufers 9783540180012

Bibliografische Details

• Titel: Singularities in Linear Wave Propagation
• Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Jul 1987
• Erscheinungsjahr: 1987
• Sprache: Englisch
• ISBN-10: 354018001X
• ISBN-13: 9783540180012
• Einband: Taschenbuch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

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.