Książka The Hyperbolic Cauchy Problem Kunihiko Kajitani

The Hyperbolic Cauchy Problem

Język: Angielski
Oprawa: Miękka
Wydawca: Springer, Berlin
Dostępność: Dostępna u dostawcy
Wysyłamy za 5-8 dni
106.69
The approach to the Cauchy problem taken here by the authors§is based on theuse of Fourier integral...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2008
strony
172
EAN
9783540550181
ISBN
3540550186
Enbook ID
01565495
Waga
281
Wymiary
157 x 237 x 11

Pełny opis

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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