Verfügbarkeit: Fundamental solutions of linear partial differential operators

Gespeichert in:

Bibliographische Detailangaben
Beteiligte Personen:	Ortner, Norbert 1945- (VerfasserIn), Wagner, Peter 1956- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	Englisch
Veröffentlicht:	Cham [u.a.] Springer 2015
Schlagwörter:	Mathematics Functional analysis Integral Transforms Differential equations, partial Partial Differential Equations Integral Transforms, Operational Calculus Functional Analysis Mathematik
Links:	https://doi.org/10.1007/978-3-319-20140-5 https://doi.org/10.1007/978-3-319-20140-5 https://doi.org/10.1007/978-3-319-20140-5 https://doi.org/10.1007/978-3-319-20140-5 https://doi.org/10.1007/978-3-319-20140-5 https://doi.org/10.1007/978-3-319-20140-5 https://doi.org/10.1007/978-3-319-20140-5 https://doi.org/10.1007/978-3-319-20140-5 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028218057&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=028218057&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	1 Online-Ressource (XII, 398 S.) 5 illus
ISBN:	9783319201405
DOI:	10.1007/978-3-319-20140-5

Internformat

MARC


LEADER	00000nam a2200000zc 4500
001	BV042788179
003	DE-604
005	20200929
007	cr\|uuu---uuuuu
008	150901s2015 xx a\|\|\| o\|\|\|\| 00\|\|\| eng d
020			\|a 9783319201405 \|c Online \|9 978-3-319-20140-5
024	7		\|a 10.1007/978-3-319-20140-5 \|2 doi
035			\|a (OCoLC)920891926
035			\|a (DE-599)BVBBV042788179
040			\|a DE-604 \|b ger \|e aacr
041	0		\|a eng
049			\|a DE-91 \|a DE-19 \|a DE-703 \|a DE-20 \|a DE-739 \|a DE-634 \|a DE-861 \|a DE-83
082	0		\|a 515.353 \|2 23
084			\|a SK 540 \|0 (DE-625)143245: \|2 rvk
084			\|a SK 620 \|0 (DE-625)143249: \|2 rvk
084			\|a MAT 000 \|2 stub
100	1		\|a Ortner, Norbert \|d 1945- \|e Verfasser \|0 (DE-588)1038434491 \|4 aut
245	1	0	\|a Fundamental solutions of linear partial differential operators \|b theory and practice \|c Norbert Ortner ; Peter Wagner
264		1	\|a Cham [u.a.] \|b Springer \|c 2015
300			\|a 1 Online-Ressource (XII, 398 S.) \|b 5 illus
336			\|b txt \|2 rdacontent
337			\|b c \|2 rdamedia
338			\|b cr \|2 rdacarrier
650		4	\|a Mathematics
650		4	\|a Functional analysis
650		4	\|a Integral Transforms
650		4	\|a Differential equations, partial
650		4	\|a Partial Differential Equations
650		4	\|a Integral Transforms, Operational Calculus
650		4	\|a Functional Analysis
650		4	\|a Mathematik
700	1		\|a Wagner, Peter \|d 1956- \|e Verfasser \|0 (DE-588)1038435668 \|4 aut
776	0	8	\|i Erscheint auch als \|n Druckausgabe \|z 978-3-319-20139-9
856	4	0	\|u https://doi.org/10.1007/978-3-319-20140-5 \|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=028218057&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=028218057&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA \|3 Abstract
912			\|a ZDB-2-SMA
940	1		\|q UBY_PDA_SMA
940	1		\|q ZDB-2-SMA_2015
943	1		\|a oai:aleph.bib-bvb.de:BVB01-028218057
966	e		\|u https://doi.org/10.1007/978-3-319-20140-5 \|l DE-634 \|p ZDB-2-SMA \|x Verlag \|3 Volltext
966	e		\|u https://doi.org/10.1007/978-3-319-20140-5 \|l DE-861 \|p ZDB-2-SMA \|x Verlag \|3 Volltext
966	e		\|u https://doi.org/10.1007/978-3-319-20140-5 \|l DE-91 \|p ZDB-2-SMA \|x Verlag \|3 Volltext
966	e		\|u https://doi.org/10.1007/978-3-319-20140-5 \|l DE-19 \|p ZDB-2-SMA \|x Verlag \|3 Volltext
966	e		\|u https://doi.org/10.1007/978-3-319-20140-5 \|l DE-703 \|p ZDB-2-SMA \|x Verlag \|3 Volltext
966	e		\|u https://doi.org/10.1007/978-3-319-20140-5 \|l DE-20 \|p ZDB-2-SMA \|x Verlag \|3 Volltext
966	e		\|u https://doi.org/10.1007/978-3-319-20140-5 \|l DE-739 \|p ZDB-2-SMA \|x Verlag \|3 Volltext

Datensatz im Suchindex

DE-BY-TUM_katkey	2132423
_version_	1821932227448012800
adam_text	FUNDAMENTAL SOLUTIONS OF LINEAR PARTIAL DIFFERENTIAL OPERATORS / ORTNER, NORBERT : 2015 TABLE OF CONTENTS / INHALTSVERZEICHNIS INTRODUCTION I. DISTRIBUTIONS AND FUNDAMENTAL SOLUTIONS II. GENERAL PRINCIPLES FOR FUNDAMENTAL SOLUTIONS III. PARAMETER INTEGRATION IV. QUASIHYPERBOLIC SYSTEMS V. FUNDAMENTAL MATRICES OF HOMOGENEOUS SYSTEMS APPENDIX: TABLE OF OPERATORS/SYSTEMS WITH REFERENCES TO FUNDAMENTAL SOLUTIONS/MATRICES REFERENCES INDEX DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. FUNDAMENTAL SOLUTIONS OF LINEAR PARTIAL DIFFERENTIAL OPERATORS / ORTNER, NORBERT : 2015 ABSTRACT / INHALTSTEXT THIS MONOGRAPH PROVIDES THE THEORETICAL FOUNDATIONS NEEDED FOR THE CONSTRUCTION OF FUNDAMENTAL SOLUTIONS AND FUNDAMENTAL MATRICES OF (SYSTEMS OF) LINEAR PARTIAL DIFFERENTIAL EQUATIONS. MANY ILLUSTRATIVE EXAMPLES ALSO SHOW TECHNIQUES FOR FINDING SUCH SOLUTIONS IN TERMS OF INTEGRALS. PARTICULAR ATTENTION IS GIVEN TO DEVELOPING THE FUNDAMENTALS OF DISTRIBUTION THEORY, ACCOMPANIED BY CALCULATIONS OF FUNDAMENTAL SOLUTIONS. THE MAIN PART OF THE BOOK DEALS WITH EXISTENCE THEOREMS AND UNIQUENESS CRITERIA, THE METHOD OF PARAMETER INTEGRATION, THE INVESTIGATION OF QUASIHYPERBOLIC SYSTEMS BY MEANS OF FOURIER AND LAPLACE TRANSFORMS, AND THE REPRESENTATION OF FUNDAMENTAL SOLUTIONS OF HOMOGENEOUS ELLIPTIC OPERATORS WITH THE HELP OF ABELIAN INTEGRALS. IN ADDITION TO RIGOROUS DISTRIBUTIONAL DERIVATIONS AND VERIFICATIONS OF FUNDAMENTAL SOLUTIONS, THE BOOK ALSO SHOWS HOW TO CONSTRUCT FUNDAMENTAL SOLUTIONS (MATRICES) OF MANY PHYSICALLY RELEVANT OPERATORS (SYSTEMS), IN ELASTICITY, THERMOELASTICITY, HEXAGONAL/CUBIC ELASTODYNAMICS, FOR MAXWELL’S SYSTEM AND OTHERS. THE BOOK MAINLY ADDRESSES RESEARCHERS AND LECTURERS WHO WORK WITH PARTIAL DIFFERENTIAL EQUATIONS. HOWEVER, IT ALSO OFFERS A VALUABLE RESOURCE FOR STUDENTS WITH A SOLID BACKGROUND IN VECTOR CALCULUS, COMPLEX ANALYSIS AND FUNCTIONAL ANALYSIS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
any_adam_object	1
author	Ortner, Norbert 1945- Wagner, Peter 1956-
author_GND	(DE-588)1038434491 (DE-588)1038435668
author_facet	Ortner, Norbert 1945- Wagner, Peter 1956-
author_role	aut aut
author_sort	Ortner, Norbert 1945-
author_variant	n o no p w pw
building	Verbundindex
bvnumber	BV042788179
classification_rvk	SK 540 SK 620
classification_tum	MAT 000
collection	ZDB-2-SMA
ctrlnum	(OCoLC)920891926 (DE-599)BVBBV042788179
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	10.1007/978-3-319-20140-5
format	Electronic eBook
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02865nam a2200589zc 4500</leader><controlfield tag="001">BV042788179</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20200929 </controlfield><controlfield tag="007">cr\|uuu---uuuuu</controlfield><controlfield tag="008">150901s2015 xx a\|\|\| o\|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783319201405</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-319-20140-5</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-319-20140-5</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)920891926</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042788179</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-739</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><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 540</subfield><subfield code="0">(DE-625)143245:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 620</subfield><subfield code="0">(DE-625)143249:</subfield><subfield code="2">rvk</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">Ortner, Norbert</subfield><subfield code="d">1945-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1038434491</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Fundamental solutions of linear partial differential operators</subfield><subfield code="b">theory and practice</subfield><subfield code="c">Norbert Ortner ; Peter Wagner</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cham [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2015</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XII, 398 S.)</subfield><subfield code="b">5 illus</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="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functional analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Integral Transforms</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations, partial</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Partial Differential Equations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Integral Transforms, Operational Calculus</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functional Analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Wagner, Peter</subfield><subfield code="d">1956-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1038435668</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-3-319-20139-9</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-319-20140-5</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=028218057&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=028218057&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-SMA</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">UBY_PDA_SMA</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_2015</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-028218057</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-20140-5</subfield><subfield code="l">DE-634</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-20140-5</subfield><subfield code="l">DE-861</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-20140-5</subfield><subfield code="l">DE-91</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-20140-5</subfield><subfield code="l">DE-19</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-20140-5</subfield><subfield code="l">DE-703</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-20140-5</subfield><subfield code="l">DE-20</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-20140-5</subfield><subfield code="l">DE-739</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection>
id	DE-604.BV042788179
illustrated	Illustrated
indexdate	2024-12-20T17:19:48Z
institution	BVB
isbn	9783319201405
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-028218057
oclc_num	920891926
open_access_boolean
owner	DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-703 DE-20 DE-739 DE-634 DE-861 DE-83
owner_facet	DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-703 DE-20 DE-739 DE-634 DE-861 DE-83
physical	1 Online-Ressource (XII, 398 S.) 5 illus
psigel	ZDB-2-SMA UBY_PDA_SMA ZDB-2-SMA_2015
publishDate	2015
publishDateSearch	2015
publishDateSort	2015
publisher	Springer
record_format	marc
spellingShingle	Ortner, Norbert 1945- Wagner, Peter 1956- Fundamental solutions of linear partial differential operators theory and practice Mathematics Functional analysis Integral Transforms Differential equations, partial Partial Differential Equations Integral Transforms, Operational Calculus Functional Analysis Mathematik
title	Fundamental solutions of linear partial differential operators theory and practice
title_auth	Fundamental solutions of linear partial differential operators theory and practice
title_exact_search	Fundamental solutions of linear partial differential operators theory and practice
title_full	Fundamental solutions of linear partial differential operators theory and practice Norbert Ortner ; Peter Wagner
title_fullStr	Fundamental solutions of linear partial differential operators theory and practice Norbert Ortner ; Peter Wagner
title_full_unstemmed	Fundamental solutions of linear partial differential operators theory and practice Norbert Ortner ; Peter Wagner
title_short	Fundamental solutions of linear partial differential operators
title_sort	fundamental solutions of linear partial differential operators theory and practice
title_sub	theory and practice
topic	Mathematics Functional analysis Integral Transforms Differential equations, partial Partial Differential Equations Integral Transforms, Operational Calculus Functional Analysis Mathematik
topic_facet	Mathematics Functional analysis Integral Transforms Differential equations, partial Partial Differential Equations Integral Transforms, Operational Calculus Functional Analysis Mathematik
url	https://doi.org/10.1007/978-3-319-20140-5 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028218057&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=028218057&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT ortnernorbert fundamentalsolutionsoflinearpartialdifferentialoperatorstheoryandpractice AT wagnerpeter fundamentalsolutionsoflinearpartialdifferentialoperatorstheoryandpractice

Verfügbarkeit

Bestellen (Login erforderlich)

Online lesen
Inhaltsverzeichnis