Singularities in Linear Wave Propagation: 1241 - Brossura

Gårding, Lars

Brossura

ISBN 10: 354018001X ISBN 13: 9783540180012

Casa editrice: Springer, 2009

Riassunto

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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Contenuti

Singularities in linear wave propagation.- Hyperbolic operators with constant coefficients.- Wave front sets and oscillatory integrals.- Pseudodifferential operators.- The Hamilton-Jacobi equation and symplectic geometry.- A global parametrix for the fundamental solution of a first order hyperbolic pseudodifferential operator.- Changes of variables and duality for general oscillatory integrals.- Sharp and diffuse fronts of paired oscillatory integrals.

Product Description

Book by Garding Lars

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 354018001X
• ISBN 13: 9783540180012
• Rilegatura: Copertina flessibile
• Numero di pagine: 132
• Contatto del produttore: non disponibile
• Persona responsabile: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Germania