The Hyperbolic Cauchy Problem
Produktnummer:
18ea87d36e5f9849f5a88ff53d35a177e0
| Autor: | Kajitani, Kunihiko Nishitani, Tatsuo |
|---|---|
| Themengebiete: | Cauchy problem Derivative Hyperbolic operators differential equation hyperbolic partial differential equation partial differential equation partial differential equations phase function pseudo-differential operators |
| Veröffentlichungsdatum: | 13.12.1991 |
| EAN: | 9783540550181 |
| Sprache: | Englisch |
| Seitenzahl: | 172 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer Berlin |
Produktinformationen "The Hyperbolic Cauchy Problem"
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.
Sie möchten lieber vor Ort einkaufen?
Sie haben Fragen zu diesem oder anderen Produkten oder möchten einfach gerne analog im Laden stöbern? Wir sind gerne für Sie da und beraten Sie auch telefonisch.
Juristische Fachbuchhandlung
Georg Blendl
Parcellistraße 5 (Maxburg)
8033 München
Montag - Freitag: 8:15 -18 Uhr
Samstags geschlossen