Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorKajitani, Kunihiko. author
TitleThe Hyperbolic Cauchy Problem [electronic resource] / by Kunihiko Kajitani, Tatsuo Nishitani
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1991
Connect tohttp://dx.doi.org/10.1007/BFb0090882
Descript VIII, 172 p. online resource

SUMMARY

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


Mathematics Mathematical analysis Analysis (Mathematics) Mathematics Analysis



Location



Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network

  line

facebook   instragram