The Hyperbolic Cauchy Problem (häftad)
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Format
Häftad (Paperback / softback)
Språk
Engelska
Antal sidor
172
Utgivningsdatum
1991-12-01
Upplaga
1991 ed.
Förlag
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Medarbetare
Nishitani, Tatsuo
Illustrationer
VIII, 172 p.
Dimensioner
234 x 156 x 10 mm
Vikt
259 g
Antal komponenter
1
Komponenter
1 Paperback / softback
ISBN
9783540550181

The Hyperbolic Cauchy Problem

av Kunihiko Kajitani, Tatsuo Nishitani
Häftad,  Engelska, 1991-12-01
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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.
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Innehållsförteckning

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

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