The hyperbolic Cauchy problem
Resource Information
The work The hyperbolic Cauchy problem represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
The hyperbolic Cauchy problem
Resource Information
The work The hyperbolic Cauchy problem represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 The hyperbolic Cauchy problem
 Statement of responsibility
 Kunihiko Kajitani, Tatsuo Nishitani
 Subject

 Cauchy problem
 Cauchy problem
 Cauchy, Problème de
 CauchyAnfangswertproblem
 Differential equations, Hyperbolic
 Differential equations, Hyperbolic
 Differential equations, Hyperbolic
 Equacoes Diferenciais Parciais
 Hyperbolischer Differentialoperator
 Équations différentielles hyperboliques
 Cauchy problem
 Language
 eng
 Summary
 The approach to the Cauchy problem taken here by the authors is based on theuse of Fourier integral operators with a complexvalued 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 pseudodifferential operators
 Action
 digitized
 Cataloging source
 SPLNM
 Dewey number
 510.8
 Index
 index present
 LC call number

 QA3
 QA377
 LC item number
 .L28 no.1505
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Lecture notes in mathematics,
 Series volume
 1505
Context
Context of The hyperbolic Cauchy problemWork of
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