The Hyperbolic Cauchy Problem

Name: The Hyperbolic Cauchy Problem
Brand: Springer, Berlin
SKU: 9783540550181
Price: 139.45 RON
Availability: InStock

Autor: Kunihiko Kajitani, Tatsuo Nishitani

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Editura: Springer, Berlin

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The approach to the Cauchy problem taken here by the authors§is based on theuse of Fourier integral...

Informații despre carte

Autor

Kunihiko Kajitani, Tatsuo Nishitani

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2008

Pagini

172

EAN

9783540550181

ISBN

3540550186

Enbook ID

01565495

Editura

Springer, Berlin

Greutate

281

Dimensiuni

157 x 237 x 11

Descriere completă

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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