Hidden Bibliographic Details
| Other authors / contributors: | Nishitani, Tatsuo, 1950-
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| ISBN: | 9783540466550
354046655X
9783540550181
3540550186
9780387550183
0387550186
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| Notes: | Includes bibliographical references (pages 166-167) and index.
Restrictions unspecified
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010.
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212
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Print version record.
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| Summary: | 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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| Other form: | Print version:Kajitani, Kunihiko, 1941- Hyperbolic Cauchy problem. Berlin : New York : Springer-Verlag, ©1991 0387550186
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