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The Hyperbolic Cauchy Problem (Lecture Notes in Mathematics)

Home > Mathematics Books > Hyperbolics > Item 56

	The Hyperbolic Cauchy Problem (Lecture Notes in Mathematics)
	by Kunihiko Kajitani and Tatsuo Nishitani Sales Rank: 4187697	List Price: ~~$26.00~~ $26.00 At Amazon on 12-6-2008

Paperback: 168 pages Publisher: Springer; 1 edition December 23, 1991 Language: English ISBN-10: 3540550186 ISBN-13: 978-3540550181 Product Dimensions: 9.2 x 6 x 0.5 inches Shipping Weight: 9.9 ounces *Product Description* 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.
The Hyperbolic Cauchy Problem (Lecture Notes in Mathematics) Available from Amazon Price: $26.00 Updated on 12-6-2008

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