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.
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Singularities in Linear Wave Propagation
Published by
Springer-Verlag, New York, 1987
ISBN 10: 038718001X
ISBN 13: 9780387180014
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Trade Paperback
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Trade Paperback. Condition: Good. Dust Jacket Condition: No Dust Jacket. First U.S. Edition. An ex-library copy in original yellow paper covers. The usual ex-libris markings, clean within. The binding is sound, and there is little cover wear. Book. Seller Inventory # 043949