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Singularities in Linear Wave Propagation

Singularities in Linear Wave Propagation

Lars Garding

48,55 €
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Editorial:
Springer Nature B.V.
Año de edición:
1987
Materia
Cálculo y análisis matemático
ISBN:
9783540180012
48,55 €
IVA incluido
Disponible

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Sobre IBD

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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