Holdings: Hyperbolic systems with analytic coefficients

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

Saved in:

Bibliographic Details
Main Author:	Nishitani, Tatsuo (Author)
Format:	Electronic eBook
Language:	English
Published:	Cham [u.a.] Springer 2014
Series:	Lecture notes in mathematics 2097
Subjects:	Cauchy-Anfangswertproblem Hyperbolische Differentialgleichung Korrekt gestelltes Problem
Online Access:	Volltext Inhaltsverzeichnis Abstract
Item Description:	Literaturverz. S. 231 - 233
Physical Description:	1 Online-Ressource (VIII, 237 S.)
ISBN:	9783319022734
DOI:	10.1007/978-3-319-02273-4

Staff View

MARC


LEADER	00000nmm a2200000 cb4500
001	BV041578724
003	DE-604
005	20150129
007	cr\|uuu---uuuuu
008	140121s2014 \|\|\|\| o\|\|u\| \|\|\|\|\|\|eng d
020			\|a 9783319022734 \|c eBook \|9 978-3-319-02273-4
024	7		\|a 10.1007/978-3-319-02273-4 \|2 doi
035			\|a (OCoLC)864452007
035			\|a (DE-599)BVBBV041578724
040			\|a DE-604 \|b ger
041	0		\|a eng
049			\|a DE-824 \|a DE-91 \|a DE-384 \|a DE-703 \|a DE-19 \|a DE-739 \|a DE-20 \|a DE-634 \|a DE-861 \|a DE-83
082	0		\|a 515.353
084			\|a SI 850 \|0 (DE-625)143199: \|2 rvk
084			\|a MAT 357f \|2 stub
084			\|a MAT 000 \|2 stub
100	1		\|a Nishitani, Tatsuo \|e Verfasser \|4 aut
245	1	0	\|a Hyperbolic systems with analytic coefficients \|b well-posedness of the Cauchy problem \|c Tatsuo Nishitani
264		1	\|a Cham [u.a.] \|b Springer \|c 2014
300			\|a 1 Online-Ressource (VIII, 237 S.)
336			\|b txt \|2 rdacontent
337			\|b c \|2 rdamedia
338			\|b cr \|2 rdacarrier
490	1		\|a Lecture notes in mathematics \|v 2097
500			\|a Literaturverz. S. 231 - 233
650	0	7	\|a Cauchy-Anfangswertproblem \|0 (DE-588)4147404-1 \|2 gnd \|9 rswk-swf
650	0	7	\|a Hyperbolische Differentialgleichung \|0 (DE-588)4131213-2 \|2 gnd \|9 rswk-swf
650	0	7	\|a Korrekt gestelltes Problem \|0 (DE-588)4194555-4 \|2 gnd \|9 rswk-swf
689	0	0	\|a Cauchy-Anfangswertproblem \|0 (DE-588)4147404-1 \|D s
689	0	1	\|a Korrekt gestelltes Problem \|0 (DE-588)4194555-4 \|D s
689	0	2	\|a Hyperbolische Differentialgleichung \|0 (DE-588)4131213-2 \|D s
689	0		\|5 DE-604
776	0	8	\|i Erscheint auch als \|n Druck-Ausgabe, Paperback \|z 978-3-319-02272-7
830		0	\|a Lecture notes in mathematics \|v 2097 \|w (DE-604)BV014303148 \|9 2097
856	4	0	\|u https://doi.org/10.1007/978-3-319-02273-4 \|x Verlag \|3 Volltext
856	4	2	\|m Springer Fremddatenuebernahme \|q application/pdf \|u 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 \|3 Inhaltsverzeichnis
856	4	2	\|m Springer Fremddatenuebernahme \|q application/pdf \|u 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 \|3 Abstract
912			\|a ZDB-2-LNM \|a ZDB-2-SMA
999			\|a oai:aleph.bib-bvb.de:BVB01-027024031

Record in the Search Index

_version_	1804151766410854400
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
author_facet	Nishitani, Tatsuo
author_role	aut
author_sort	Nishitani, Tatsuo
author_variant	t n tn
building	Verbundindex
bvnumber	BV041578724
classification_rvk	SI 850
classification_tum	MAT 357f MAT 000
collection	ZDB-2-LNM ZDB-2-SMA
ctrlnum	(OCoLC)864452007 (DE-599)BVBBV041578724
dewey-full	515.353
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	515 - Analysis
dewey-raw	515.353
dewey-search	515.353
dewey-sort	3515.353
dewey-tens	510 - Mathematics
discipline	Mathematik
doi_str_mv	10.1007/978-3-319-02273-4
format	Electronic eBook
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02361nmm a2200493 cb4500</leader><controlfield tag="001">BV041578724</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20150129 </controlfield><controlfield tag="007">cr\|uuu---uuuuu</controlfield><controlfield tag="008">140121s2014 \|\|\|\| o\|\|u\| \|\|\|\|\|\|eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783319022734</subfield><subfield code="c">eBook</subfield><subfield code="9">978-3-319-02273-4</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-319-02273-4</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)864452007</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV041578724</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-824</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-861</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.353</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 850</subfield><subfield code="0">(DE-625)143199:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 357f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Nishitani, Tatsuo</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Hyperbolic systems with analytic coefficients</subfield><subfield code="b">well-posedness of the Cauchy problem</subfield><subfield code="c">Tatsuo Nishitani</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cham [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2014</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (VIII, 237 S.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">2097</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturverz. S. 231 - 233</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Cauchy-Anfangswertproblem</subfield><subfield code="0">(DE-588)4147404-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Hyperbolische Differentialgleichung</subfield><subfield code="0">(DE-588)4131213-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Korrekt gestelltes Problem</subfield><subfield code="0">(DE-588)4194555-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Cauchy-Anfangswertproblem</subfield><subfield code="0">(DE-588)4147404-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Korrekt gestelltes Problem</subfield><subfield code="0">(DE-588)4194555-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Hyperbolische Differentialgleichung</subfield><subfield code="0">(DE-588)4131213-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe, Paperback</subfield><subfield code="z">978-3-319-02272-7</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">2097</subfield><subfield code="w">(DE-604)BV014303148</subfield><subfield code="9">2097</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-319-02273-4</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Abstract</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-LNM</subfield><subfield code="a">ZDB-2-SMA</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027024031</subfield></datafield></record></collection>
id	DE-604.BV041578724
illustrated	Not Illustrated
indexdate	2024-07-10T01:00:02Z
institution	BVB
isbn	9783319022734
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-027024031
oclc_num	864452007
open_access_boolean
owner	DE-824 DE-91 DE-BY-TUM DE-384 DE-703 DE-19 DE-BY-UBM DE-739 DE-20 DE-634 DE-861 DE-83
owner_facet	DE-824 DE-91 DE-BY-TUM DE-384 DE-703 DE-19 DE-BY-UBM DE-739 DE-20 DE-634 DE-861 DE-83
physical	1 Online-Ressource (VIII, 237 S.)
psigel	ZDB-2-LNM ZDB-2-SMA
publishDate	2014
publishDateSearch	2014
publishDateSort	2014
publisher	Springer
record_format	marc
series	Lecture notes in mathematics
series2	Lecture notes in mathematics
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

Holdings

There is no print copy available.

Interlibrary loan Place Request Caution: Not in THWS collection! Get full text

MARC

Record in the Search Index

There is no print copy available.

Similar Items