The Hyperbolic Cauchy Problem
by Kunihiko Kajitani;Tatsuo Nishitani (9783540550181)

The Hyperbolic Cauchy Problem
 

Kunihiko Kajitani;Tatsuo Nishitani


Release Date: 13 December 1991
Format: Paperback / softback
Pages: 172
Category: Mathematical Analysis
Publisher: Springer
ISBN: 9783540550181
ISBN-10: 3540550186



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.

AUD $54.95

 This title is not held in stock & is ordered from suppliers, subject to availability.



Write a customer review of The Hyperbolic Cauchy Problem.



If you like this title please tell others:

tell others

post to your Facebook wall post on Twitter post on Digg recommend to Stumbleupon bookmark on Delicious RSS feed send to a friend


Australian BookShop
Australian Bookshop. Established 2003
Search
Shopping Cart Customer Support


HolisticPage
International Online Store
of Inspiration
we ship everywhere
Australia Post
Australia Wide
.
Worldwide