Coverart for item
The Resource Hyperbolic systems with analytic coefficients : well-posedness of the Cauchy problem, Tatsuo Nishitani

Hyperbolic systems with analytic coefficients : well-posedness of the Cauchy problem, Tatsuo Nishitani

Label
Hyperbolic systems with analytic coefficients : well-posedness of the Cauchy problem
Title
Hyperbolic systems with analytic coefficients
Title remainder
well-posedness of the Cauchy problem
Statement of responsibility
Tatsuo Nishitani
Creator
Author
Subject
Language
eng
Summary
This monograph focuses on the well-posedness 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
Member of
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 : well-posedness of the Cauchy problem, Tatsuo Nishitani
Instantiates
Publication
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
10.1007/978-3-319-02273-4
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 : well-posedness of the Cauchy problem, Tatsuo Nishitani
Publication
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
10.1007/978-3-319-02273-4
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)868827115

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