Partial differential equations: 2 Qualitative studies of linear equations
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [und andere]
Springer
2011
|
| Edition: | 2. ed. |
| Series: | Applied mathematical sciences
116 |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | XXII, 614 S. graph. Darst. |
| ISBN: | 9781441970510 9781461427421 |
Staff View
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 |
Record in the Search Index
| _version_ | 1805066157100630016 |
|---|---|
| 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>00000nam a2200000 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></record></collection> |
| id | DE-604.BV036617496 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T03:13:53Z |
| 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 |
| spelling | Taylor, Michael Eugene 1946- Verfasser (DE-588)123980119 aut Partial differential equations 2 Qualitative studies of linear equations Michael E. Taylor 2. ed. New York [und andere] Springer 2011 XXII, 614 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Applied mathematical sciences 116 Applied mathematical sciences Hier auch später erschienene, unveränderte Nachdrucke (DE-604)BV010899159 2 Erscheint auch als Online-Ausgabe 978-1-4419-7052-7 Applied mathematical sciences 116 (DE-604)BV000005274 116 Digitalisierung UB Regensburg application/pdf 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 Inhaltsverzeichnis |
| 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 |