The Resource Hyperbolic systems with analytic coefficients : wellposedness of the Cauchy problem, Tatsuo Nishitani
Hyperbolic systems with analytic coefficients : wellposedness of the Cauchy problem, Tatsuo Nishitani
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The item Hyperbolic systems with analytic coefficients : wellposedness of the Cauchy problem, 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 Hyperbolic systems with analytic coefficients : wellposedness of the Cauchy problem, 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
 This monograph focuses on the wellposedness of the Cauchy problem for linear hyperbolic systems with matrix coefficients. Mainly two questions are discussed: (A) Under which conditions on lower order terms is the Cauchy problem well posed? (B) When is the Cauchy problem well posed for any lower order term? For first order two by two systems with two independent variables with real analytic coefficients, we present complete answers for both (A) and (B). For first order systems with real analytic coefficients we prove general necessary conditions for question (B) in terms of minors of the principal symbols. With regard to sufficient conditions for (B), we introduce hyperbolic systems with nondegenerate characteristics, which contains strictly hyperbolic systems, and prove that the Cauchy problem for hyperbolic systems with nondegenerate characteristics is well posed for any lower order term. We also prove that any hyperbolic system which is close to a hyperbolic system with a nondegenerate characteristic of multiple order has a nondegenerate characteristic of the same order nearby
 Language
 eng
 Extent
 1 online resource (viii, 237 pages).
 Contents

 Necessary conditions for strong hyperbolicity
 Two by two systems with two independent variables
 Systems with nondegenerate characteristics
 Isbn
 9783319022734
 Label
 Hyperbolic systems with analytic coefficients : wellposedness of the Cauchy problem
 Title
 Hyperbolic systems with analytic coefficients
 Title remainder
 wellposedness of the Cauchy problem
 Statement of responsibility
 Tatsuo Nishitani
 Language
 eng
 Summary
 This monograph focuses on the wellposedness of the Cauchy problem for linear hyperbolic systems with matrix coefficients. Mainly two questions are discussed: (A) Under which conditions on lower order terms is the Cauchy problem well posed? (B) When is the Cauchy problem well posed for any lower order term? For first order two by two systems with two independent variables with real analytic coefficients, we present complete answers for both (A) and (B). For first order systems with real analytic coefficients we prove general necessary conditions for question (B) in terms of minors of the principal symbols. With regard to sufficient conditions for (B), we introduce hyperbolic systems with nondegenerate characteristics, which contains strictly hyperbolic systems, and prove that the Cauchy problem for hyperbolic systems with nondegenerate characteristics is well posed for any lower order term. We also prove that any hyperbolic system which is close to a hyperbolic system with a nondegenerate characteristic of multiple order has a nondegenerate characteristic of the same order nearby
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorDate
 1950
 http://library.link/vocab/creatorName
 Nishitani, Tatsuo
 Dewey number
 515/.35
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA377
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Lecture Notes in Mathematics,
 Series volume
 2097
 http://library.link/vocab/subjectName

 Cauchy problem
 Differential equations, Hyperbolic
 Cauchy problem
 Differential equations, Hyperbolic
 Label
 Hyperbolic systems with analytic coefficients : wellposedness of the Cauchy problem, Tatsuo Nishitani
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Necessary conditions for strong hyperbolicity  Two by two systems with two independent variables  Systems with nondegenerate characteristics
 Control code
 868827115
 Dimensions
 unknown
 Extent
 1 online resource (viii, 237 pages).
 File format
 unknown
 Form of item
 online
 Isbn
 9783319022734
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319022734
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)868827115
 Label
 Hyperbolic systems with analytic coefficients : wellposedness of the Cauchy problem, Tatsuo Nishitani
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Necessary conditions for strong hyperbolicity  Two by two systems with two independent variables  Systems with nondegenerate characteristics
 Control code
 868827115
 Dimensions
 unknown
 Extent
 1 online resource (viii, 237 pages).
 File format
 unknown
 Form of item
 online
 Isbn
 9783319022734
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319022734
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)868827115
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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/Hyperbolicsystemswithanalyticcoefficients/nvC0Izy96FM/" 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/Hyperbolicsystemswithanalyticcoefficients/nvC0Izy96FM/">Hyperbolic systems with analytic coefficients : wellposedness of the Cauchy problem, 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>