The Hyperbolic Cauchy Problem
| Author/creator | Kajitani, Kunihiko Author |
| Other author | Nishitani, Tatsuo Author |
| Format | Electronic |
| Publication Info | New York : Springer |
| Description | viii, 172 p. ill |
| Supplemental Content | Full text available from SpringerLINK Lecture Notes in Mathematics |
| Supplemental Content | Full text available from Springer Books |
| Series | Lecture Notes in Mathematics Ser. 1505 |
| Summary | Annotation The approach to the Cauchy problem taken here by the authorsis based on theuse of Fourier integral operators with acomplex-valued phase function, which is a time functionchosen suitably according to the geometry of the multiplecharacteristics. The correctness of the Cauchy problem inthe Gevrey classes for operators with hyperbolic principalpart is shown in the first part. In the second part, thecorrectness of the Cauchy problem for effectively hyperbolicoperators is proved with a precise estimate of the loss ofderivatives. This method can be applied to other (non)hyperbolic problems. The text is based on a course oflectures given for graduate students but will be of interestto researchers interested in hyperbolic partial differentialequations. In the latter part the reader is expected to befamiliar with some theory of pseudo-differential operators. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| ISBN | 9783540466550 |
| ISBN | 354046655X (E-Book) Active Record |
| Standard identifier# | 9783540466550 |
| Stock number | 10.1007/BFb0090882 00024965 |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | ✔ Available |