The Resource The hyperbolic Cauchy problem, Kunihiko Kajitani, Tatsuo Nishitani
The hyperbolic Cauchy problem, Kunihiko Kajitani, Tatsuo Nishitani
Resource Information
The item The hyperbolic Cauchy problem, Kunihiko Kajitani, Tatsuo Nishitani represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item The hyperbolic Cauchy problem, Kunihiko Kajitani, Tatsuo Nishitani represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Extent
 1 online resource (vi, 167 pages).
 Isbn
 9783540466550
 Label
 The hyperbolic Cauchy problem
 Title
 The hyperbolic Cauchy problem
 Statement of responsibility
 Kunihiko Kajitani, Tatsuo Nishitani
 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
 http://library.link/vocab/creatorDate
 1941
 http://library.link/vocab/creatorName
 Kajitani, Kunihiko
 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
 http://library.link/vocab/relatedWorkOrContributorDate
 1950
 http://library.link/vocab/relatedWorkOrContributorName
 Nishitani, Tatsuo
 Series statement
 Lecture notes in mathematics,
 Series volume
 1505
 http://library.link/vocab/subjectName

 Cauchy problem
 Differential equations, Hyperbolic
 Cauchy problem
 Differential equations, Hyperbolic
 Equacoes Diferenciais Parciais
 CauchyAnfangswertproblem
 Hyperbolischer Differentialoperator
 Label
 The hyperbolic Cauchy problem, Kunihiko Kajitani, Tatsuo Nishitani
 Bibliography note
 Includes bibliographical references (pages 166167) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Control code
 294860229
 Dimensions
 unknown
 Extent
 1 online resource (vi, 167 pages).
 Form of item
 online
 Isbn
 9783540466550
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Reproduction note
 Electronic reproduction.
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)294860229
 System details
 Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
 Label
 The hyperbolic Cauchy problem, Kunihiko Kajitani, Tatsuo Nishitani
 Bibliography note
 Includes bibliographical references (pages 166167) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Control code
 294860229
 Dimensions
 unknown
 Extent
 1 online resource (vi, 167 pages).
 Form of item
 online
 Isbn
 9783540466550
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Reproduction note
 Electronic reproduction.
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)294860229
 System details
 Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/ThehyperbolicCauchyproblemKunihikoKajitani/6LPR36VqGFY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/ThehyperbolicCauchyproblemKunihikoKajitani/6LPR36VqGFY/">The hyperbolic Cauchy problem, Kunihiko Kajitani, Tatsuo Nishitani</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>