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    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Hyperbolic Cauchy Problem

The Hyperbolic Cauchy Problem

Kajitani, Kunihiko
Nishitani, Tatsuo

Paperback

Series: Lecture Notes in Mathematics, Book 1505

General Mathematics

ISBN10: 3540550186
ISBN13: 9783540550181
Publisher: Springer Nature
Published: Dec 13 1991
Pages: 172
Weight: 0.57
Height: 0.38 Width: 6.14 Depth: 9.21
Language: English
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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