Volume 1505. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In fair condition, suitable as a study copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,400grams, ISBN:3540550186.

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Dati bibliografici

Titolo

The Hyperbolic Cauchy Problem (Lecture Notes in Mathematics) (Volume 1505)

Editore

Springer

Data di pubblicazione

1991

Lingua

Inglese

ISBN 10

3540550186

ISBN 13

9783540550181

Rilegatura

Brossura

Condizione

Fair

Peso

400 grammi

Cataloghi dei venditori

Mathematics

Descrizione articolo

Riassunto

The approach to the Cauchy problem taken here by the authors is based on theuse of Fourier integral operators with a complex-valued phase function, which is a time function chosen suitably according to the geometry of the multiple characteristics. The correctness of the Cauchy problem in the Gevrey classes for operators with hyperbolic principal part is shown in the first part. In the second part, the correctness of the Cauchy problem for effectively hyperbolic operators is proved with a precise estimate of the loss of derivatives. This method can be applied to other (non) hyperbolic problems. The text is based on a course of lectures given for graduate students but will be of interest to researchers interested in hyperbolic partial differential equations. In the latter part the reader is expected to be familiar with some theory of pseudo-differential operators.

Contenuti

Fourier integral operators with complex-valued phase function and the Cauchy problem for hyperbolic operators.- The effectively hyperbolic Cauchy problem.

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