Verfügbarkeit: Partial differential equations | Technische Universität München

Partial differential equations: 2 Qualitative studies of linear equations

Gespeichert in:

Bibliographische Detailangaben
Beteilige Person:	Taylor, Michael Eugene 1946- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	New York [und andere] Springer 2011
Ausgabe:	2. ed.
Schriftenreihe:	Applied mathematical sciences 116
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020537594&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Hier auch später erschienene, unveränderte Nachdrucke
Umfang:	XXII, 614 S. graph. Darst.
ISBN:	9781441970510 9781461427421

Internformat

MARC


LEADER	00000nam a2200000 cc4500
001	BV036617496
003	DE-604
005	20211215
007	t\|
008	100816s2011 xxud\|\|\| \|\|\|\| 00\|\|\| eng d
020			\|a 9781441970510 \|9 978-1-4419-7051-0
020			\|a 9781461427421 \|9 978-1-4614-2742-1
035			\|a (OCoLC)705736950
035			\|a (DE-599)BVBBV036617496
040			\|a DE-604 \|b ger \|e rakddb
041	0		\|a eng
044			\|a xxu \|c XD-US
049			\|a DE-20 \|a DE-11 \|a DE-634 \|a DE-188 \|a DE-355 \|a DE-19 \|a DE-91G \|a DE-703
100	1		\|a Taylor, Michael Eugene \|d 1946- \|e Verfasser \|0 (DE-588)123980119 \|4 aut
245	1	0	\|a Partial differential equations \|n 2 \|p Qualitative studies of linear equations \|c Michael E. Taylor
250			\|a 2. ed.
264		1	\|a New York [und andere] \|b Springer \|c 2011
300			\|a XXII, 614 S. \|b graph. Darst.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	1		\|a Applied mathematical sciences \|v 116
490	0		\|a Applied mathematical sciences
500			\|a Hier auch später erschienene, unveränderte Nachdrucke
773	0	8	\|w (DE-604)BV010899159 \|g 2
776	0	8	\|i Erscheint auch als \|n Online-Ausgabe \|z 978-1-4419-7052-7
830		0	\|a Applied mathematical sciences \|v 116 \|w (DE-604)BV000005274 \|9 116
856	4	2	\|m Digitalisierung UB Regensburg \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020537594&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
943	1		\|a oai:aleph.bib-bvb.de:BVB01-020537594

Datensatz im Suchindex

DE-BY-TUM_call_number	0102 MAT 350f 2001 A 32735-2(2)
DE-BY-TUM_katkey	2290394
DE-BY-TUM_location	01
DE-BY-TUM_media_number	040008161542
_version_	1821934217039183872
adam_text	Contents Contents of Volumes I and ΠΙ ................................................. χι Preface ............................................................................ xiii 7 Pseudodifferential Operators ............................................. 1 1 The Founer integral representation and symbol classes ............. 2 2 Schwartz kernels of pseudodifferential operators .................... 5 3 Adjoints and products ................................................. 10 4 Elliptic operators and paramétrées ................................... 15 5 L2-esnmates ........................................................... 18 6 Gârdmg s inequality ................................................... 22 7 Hyperbolic evolution equations ....................................... 23 8 Egorov s theorem ...................................................... 26 9 Microlocal regularity .................................................. 29 10 Operators on manifolds ............................................... 33 11 The method of layer potentials ....................................... 36 12 Paraxnetrix for regular elliptic boundary problems .................. 47 13 Parametrix for the heat equation ...................................... 56 14 The Weyl calculus ......................................................... 67 15 Operators of iutmoooic oscillator type .................................... 80 References .................................................................... SB 8 ЅцшѕхѕаТШжу«.. ............................................................. 91 1 The spectral theorem ..........____..........___..___............... 92 2 Sełf-adjoint differential operatore ....... , ......___.................. ÌOO 3 Нем asymptote ахкІ eigenvalue asymptote ....................... Í06 4 The Laplaceoperator ой S ..........................................113 5 The Laplace operator on hypedxwUsc space ........................... 123 6 The harmonic oscil) ator .................................................126 7 The quantum Coulomb problem .......................................135 8 The Laplace operator on cones ........___,.........................149 References ..................—....................................... 17 ! 9 Scattala« by Obstacles .................................................... 175 1 The scattering problem ................................................ 1 77 2 EigeafiinctioQ expansions .............................................186 3 The scattering operator..., ...........,................................192 viii Contents 4 Connections wiih the wave equation ................................. 197 5 Wave operators ........................................................205 6 Translation representations and Lbe Lax-Phihips semigroup 7,(t) .........................................................211 7 Integra] equations and scattering poles ...............................218 8 Trace formulas; the scattering phase .................................232 9 Scattering by a sphere .................................................239 10 I riverse problems I .....................................................248 11 Inverse problems II ....................................................254 12 Scattering by rough obstacles .........................................266 A Lidsku s trace theorem ................................................275 References .............................................................277 10 Dirac Operators and Index Theory ......................................281 1 Operators of Dirac type ...............................................283 2 Clifford algebras .......................................................289 3 Spinors .................................................................294 4 Weitzenbock formulas ................................................300 5 Index of Dirac operators ...............................................306 6 Proof of the local index formula ......................................309 7 The Chern-Gaiiss -Bonnet theorem ..................................3 1.6 8 Spmc manifolds .......................................................320 9 The Riemann-Roch theorem .........................................325 10 Direct attack in 2-D ...................................................338 11 Index of operators of harmonic oscillator type .......................345 References .............................................................358 11 Brownian Motion and Potential Theory ................................361 1 Brownian motion and Wiener measure ...............................363 2 The Feynman-Kac formula ...........................................370 3 The DmchJet problem and diffusion on domains with boundary ... 375 4 Martingales, stopping times, and the strong Markov property ......384 5 First exit time and the Poisson i n t egra! ...............................394 6 Newtonian capacity ...................................................398 7 Stochastic integrals ....................................................412 8 Stochastic integrals, II .................................................423 9 Stochastic differential equations ...................................... 430 10 Application to equations of diffusion .................................437 A The Trotter product formula ..........................................448 References .............................................................454 12 The 3 -Neumann Problem .................................................457 A Elliptic complexes .....................................................460 1 The З-сотріех .........................................................465 2 Money s inequality, the Levi form, and strong pseudoconvexity ... 469 3 The \| -esumate and some consequences .............................472 С ο η te піч їх 4 Higher-order subeljiplic esi ι maies ..............................4 76 5 Regularity via elliptic regulanzaiion ........................... 480 6 The Hodge decomposition and the S-cquation .............. 483 7 The Bergman projection and ! oephi/ operators ................487 8 The Э -Neumann problem on (0. q )■■ forms ..................... 494 9 Reduction to pseudodiffercnual equations on the, boundary ... . 503 10 The д equation on complex mnmioids and almost complex manifolds ....... ........................ 5 ! 6 В Complements on the Levi loi m ..................... 5/7 С The Neumann operator tor ine Dinchlei. problem ..........531 References ................. ..........................535 С Connections and Curvature 539 1 Covanani derivatives and curvature on generai vecioi bundles .. 5-10 2 Second covariant derivatives and covenant exterior deriva: ivcs . . 546 3 The curvature tensor of a Ricmanmar: manifold ............. 548 4 Geometry of submanifolds ar.d subbund .es ............ . 360 5 The Gauss-Bonnet theorem :o; surfaces ......... . ^74 6 The principal bundle pici;. re ...............586 7 The Chem-Weil construcion . .................. 59·! 8 The Chern-Gauss-Bonne; ι lieoi cm .................. 598 References ................................ . . 608 Index .................................. .....................611
any_adam_object	1
author	Taylor, Michael Eugene 1946-
author_GND	(DE-588)123980119
author_facet	Taylor, Michael Eugene 1946-
author_role	aut
author_sort	Taylor, Michael Eugene 1946-
author_variant	m e t me met
building	Verbundindex
bvnumber	BV036617496
ctrlnum	(OCoLC)705736950 (DE-599)BVBBV036617496
edition	2. ed.
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01562nam a2200373 cc4500</leader><controlfield tag="001">BV036617496</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20211215 </controlfield><controlfield tag="007">t\|</controlfield><controlfield tag="008">100816s2011 xxud\|\|\| \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781441970510</subfield><subfield code="9">978-1-4419-7051-0</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461427421</subfield><subfield code="9">978-1-4614-2742-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)705736950</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV036617496</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">XD-US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-20</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-703</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Taylor, Michael Eugene</subfield><subfield code="d">1946-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)123980119</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Partial differential equations</subfield><subfield code="n">2</subfield><subfield code="p">Qualitative studies of linear equations</subfield><subfield code="c">Michael E. Taylor</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York [und andere]</subfield><subfield code="b">Springer</subfield><subfield code="c">2011</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XXII, 614 S.</subfield><subfield code="b">graph. Darst.</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">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Applied mathematical sciences</subfield><subfield code="v">116</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Applied mathematical sciences</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Hier auch später erschienene, unveränderte Nachdrucke</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="w">(DE-604)BV010899159</subfield><subfield code="g">2</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-1-4419-7052-7</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Applied mathematical sciences</subfield><subfield code="v">116</subfield><subfield code="w">(DE-604)BV000005274</subfield><subfield code="9">116</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg</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=020537594&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-020537594</subfield></datafield></record></collection>
id	DE-604.BV036617496
illustrated	Illustrated
indexdate	2024-12-20T14:38:18Z
institution	BVB
isbn	9781441970510 9781461427421
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-020537594
oclc_num	705736950
open_access_boolean
owner	DE-20 DE-11 DE-634 DE-188 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-703
owner_facet	DE-20 DE-11 DE-634 DE-188 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-703
physical	XXII, 614 S. graph. Darst.
publishDate	2011
publishDateSearch	2011
publishDateSort	2011
publisher	Springer
record_format	marc
series	Applied mathematical sciences
series2	Applied mathematical sciences
spellingShingle	Taylor, Michael Eugene 1946- Partial differential equations Applied mathematical sciences
title	Partial differential equations
title_auth	Partial differential equations
title_exact_search	Partial differential equations
title_full	Partial differential equations 2 Qualitative studies of linear equations Michael E. Taylor
title_fullStr	Partial differential equations 2 Qualitative studies of linear equations Michael E. Taylor
title_full_unstemmed	Partial differential equations 2 Qualitative studies of linear equations Michael E. Taylor
title_short	Partial differential equations
title_sort	partial differential equations qualitative studies of linear equations
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020537594&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV010899159 (DE-604)BV000005274
work_keys_str_mv	AT taylormichaeleugene partialdifferentialequations2

Verfügbarkeit

Bestellen (Login erforderlich)

Inhaltsverzeichnis
Paper/Kapitel scannen lassen

Teilbibliothek Mathematik & Informatik

Bestandsangaben von Teilbibliothek Mathematik & Informatik
Signatur:	0102 MAT 350f 2001 A 32735-2(2) Lageplan
Exemplar 1	Ausleihbar Am Standort