The Hyperbolic Cauchy Problem: 1505 (Lecture Notes in Mathematics) - Softcover

Kajitani, Kunihiko

 
9783540550181: The Hyperbolic Cauchy Problem: 1505 (Lecture Notes in Mathematics)
Softcover
ISBN 10: 3540550186 ISBN 13: 9783540550181
Verlag: Springer, 1991

Inhaltsangabe

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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Reseña del editor

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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Verlag
Springer
Erscheinungsdatum
1991
Sprache
Englisch
ISBN 10 
3540550186
ISBN 13 
9783540550181
Einband
Tapa blanda
Anzahl der Seiten
180
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
CMN Printpool Inh. Mathis Neumann
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Hamburg
Deutschland

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ISBN 10:  0387550186 ISBN 13:  9780387550183
Softcover