Verfügbarkeit: Hyperbolic systems with analytic coefficients

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

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Bibliographische Detailangaben
1. Verfasser:	Nishitani, Tatsuo (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cham [u.a.] Springer 2014
Schriftenreihe:	Lecture notes in mathematics 2097
Schlagworte:	Cauchy-Anfangswertproblem Hyperbolische Differentialgleichung Korrekt gestelltes Problem
Online-Zugang:	Volltext Inhaltsverzeichnis Abstract
Beschreibung:	Literaturverz. S. 231 - 233
Beschreibung:	1 Online-Ressource (VIII, 237 S.)
ISBN:	9783319022734
DOI:	10.1007/978-3-319-02273-4

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Datensatz im Suchindex

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adam_text	HYPERBOLIC SYSTEMS WITH ANALYTIC COEFFICIENTS / NISHITANI, TATSUO : 2014 TABLE OF CONTENTS / INHALTSVERZEICHNIS INTRODUCTION NECESSARY CONDITIONS FOR STRONG HYPERBOLICITY TWO BY TWO SYSTEMS WITH TWO INDEPENDENT VARIABLES SYSTEMS WITH NONDEGENERATE CHARACTERISTICS INDEX DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. HYPERBOLIC SYSTEMS WITH ANALYTIC COEFFICIENTS / NISHITANI, TATSUO : 2014 ABSTRACT / INHALTSTEXT 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. DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
any_adam_object	1
author	Nishitani, Tatsuo
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spelling	Nishitani, Tatsuo Verfasser aut Hyperbolic systems with analytic coefficients well-posedness of the Cauchy problem Tatsuo Nishitani Cham [u.a.] Springer 2014 1 Online-Ressource (VIII, 237 S.) txt rdacontent c rdamedia cr rdacarrier Lecture notes in mathematics 2097 Literaturverz. S. 231 - 233 Cauchy-Anfangswertproblem (DE-588)4147404-1 gnd rswk-swf Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd rswk-swf Korrekt gestelltes Problem (DE-588)4194555-4 gnd rswk-swf Cauchy-Anfangswertproblem (DE-588)4147404-1 s Korrekt gestelltes Problem (DE-588)4194555-4 s Hyperbolische Differentialgleichung (DE-588)4131213-2 s DE-604 Erscheint auch als Druck-Ausgabe, Paperback 978-3-319-02272-7 Lecture notes in mathematics 2097 (DE-604)BV014303148 2097 https://doi.org/10.1007/978-3-319-02273-4 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027024031&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027024031&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract
spellingShingle	Nishitani, Tatsuo Hyperbolic systems with analytic coefficients well-posedness of the Cauchy problem Lecture notes in mathematics Cauchy-Anfangswertproblem (DE-588)4147404-1 gnd Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd Korrekt gestelltes Problem (DE-588)4194555-4 gnd
subject_GND	(DE-588)4147404-1 (DE-588)4131213-2 (DE-588)4194555-4
title	Hyperbolic systems with analytic coefficients well-posedness of the Cauchy problem
title_auth	Hyperbolic systems with analytic coefficients well-posedness of the Cauchy problem
title_exact_search	Hyperbolic systems with analytic coefficients well-posedness of the Cauchy problem
title_full	Hyperbolic systems with analytic coefficients well-posedness of the Cauchy problem Tatsuo Nishitani
title_fullStr	Hyperbolic systems with analytic coefficients well-posedness of the Cauchy problem Tatsuo Nishitani
title_full_unstemmed	Hyperbolic systems with analytic coefficients well-posedness of the Cauchy problem Tatsuo Nishitani
title_short	Hyperbolic systems with analytic coefficients
title_sort	hyperbolic systems with analytic coefficients well posedness of the cauchy problem
title_sub	well-posedness of the Cauchy problem
topic	Cauchy-Anfangswertproblem (DE-588)4147404-1 gnd Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd Korrekt gestelltes Problem (DE-588)4194555-4 gnd
topic_facet	Cauchy-Anfangswertproblem Hyperbolische Differentialgleichung Korrekt gestelltes Problem
url	https://doi.org/10.1007/978-3-319-02273-4 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027024031&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027024031&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV014303148
work_keys_str_mv	AT nishitanitatsuo hyperbolicsystemswithanalyticcoefficientswellposednessofthecauchyproblem

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