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Synopsis
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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The hyperbolic Cauchy problem. Lecture notes in mathematics ; 1505 : Subseries: Scuola Normale Superiore, Pisa
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Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest : Springer, 1991
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The Hyperbolic Cauchy Problem. Lecture notes in mathematics; Bd. 1505.
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The Hyperbolic Cauchy Problem. (= Lecture Notes in Mathematics, Volume 1505).
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Springer, Berlin / Heidelberg / New York, 1991
ISBN 10: 3540550186
ISBN 13: 9783540550181
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The Hyperbolic Cauchy Problem (Lecture Notes in Mathematics, 1505)
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The Hyperbolic Cauchy Problem
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The Hyperbolic Cauchy Problem (Lecture Notes in Mathematics, 1505)
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The Hyperbolic Cauchy Problem (Lecture Notes in Mathematics)
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The Hyperbolic Cauchy Problem
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The Hyperbolic Cauchy Problem
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Springer Berlin Heidelberg Dez 1991, 1991
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ISBN 13: 9783540550181
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The approach to the Cauchy problem taken here by the authorsis based on theuse of Fourier integral operators with acomplex-valued phase function, which is a time functionchosen suitably according to the geometry of the multiplecharacteristics. The correctness of the Cauchy problem inthe Gevrey classes for operators with hyperbolic principalpart is shown in the first part. In the second part, thecorrectness of the Cauchy problem for effectively hyperbolicoperators is proved with a precise estimate of the loss ofderivatives. This method can be applied to other (non)hyperbolic problems. The text is based on a course oflectures given for graduate students but will be of interestto researchers interested in hyperbolic partial differentialequations. In the latter part the reader is expected to befamiliar with some theory of pseudo-differential operators. 180 pp. Englisch. Seller Inventory # 9783540550181
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The Hyperbolic Cauchy Problem
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