Singularities in Linear Wave Propagation: 1241 (Nankai Institute of Mathematics, Tianjin, P.R. China) - Softcover

Gårding, Lars

 
9783540180012: Singularities in Linear Wave Propagation: 1241 (Nankai Institute of Mathematics, Tianjin, P.R. China)
Softcover
ISBN 10: 354018001X ISBN 13: 9783540180012
Verlag: Springer, 2009

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.

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Reseña del editor

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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Verlag
Springer
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
354018001X
ISBN 13 
9783540180012
Einband
Tapa blanda
Anzahl der Seiten
132
Kontakt zum Hersteller
Nicht verfügbar
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Vorgestellte Ausgabe

ISBN 10:  038718001X ISBN 13:  9780387180014
Verlag: Springer-Verlag New York Inc., 1987
Softcover