Elliptic functional differential equations and applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Basel [u.a.]
Birkhäuser
1997
|
| Schriftenreihe: | Operator theory
91 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 275 - 284 |
| Beschreibung: | VIII, 293 S. graph. Darst. |
| ISBN: | 3764354046 0817654046 |
Internformat
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| 100 | 1 | |a Skubačevskij, Aleksandr L. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Elliptic functional differential equations and applications |c Alexander L. Skubachevskii |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 1997 | |
| 300 | |a VIII, 293 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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Datensatz im Suchindex
| _version_ | 1804125599810191360 |
|---|---|
| adam_text | ELLIPTIC FUNCTIONAL
DIFFERENTIAL EQUATIONS
AND APPLICATIONS
ALEXANDER L SKUBACHEVSKII
BIRKHAUSER VERLA
G
BASEL BOSTON BERLIN
CONTENTS
ACKNOWLEDGMENTS IX
NOTATION X
INTRODUCTION 1
I BOUNDARY VALUE PROBLEMS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS
IN ONE DIMENSION
1 ORDINAR
Y DIFFERENTIAL EQUATION
S WIT
H NONLOCAL
BOUNDAR
Y CONDITION
S 19
2 DIFFERENCE OPERATOR
S IN ON
E DIMENSION 26
3 TH
E BOUNDAR
Y VALUE PROBLE
M FOR TH
E
DIFFERENTIAL-DIFFERENCE EQUATIO
N 37
4 GENERALIZED AN
D CLASSICAL SOLUTIONS 53
5 APPLICATION
S T
O CONTRO
L SYSTEM
S WIT
H DELAY 71
6 TH
E BOUNDAR
Y VALUE PROBLE
M FOR TH
E DIFFERENTIAL-DIFFERENCE
EQUATIO
N WIT
H DEGENERATIO
N 77
NOTES 88
II THE FIRST BOUNDARY VALUE PROBLEM FOR STRONGLY ELLIPTIC
DIFFERENTIAL-DIFFERENCE EQUATIONS
7 SOME GEOMETRICA
L CONSTRUCTION
S 92
8 DIFFERENCE OPERATOR
S I
N TH
E MULTIDIMENSIONA
L CASE 96
9 NECESSARY AN
D SUFFICIENT CONDITION
S FOR STRON
G ELLIPTICIT
Y 109
10 SOLVABILITY AN
D SPECTRU
M 122
11 SMOOTHNES
S OF GENERALIZED SOLUTION
S I
N SUBDOMAIN
S 125
12 SMOOTHNES
S OF SOLUTIONS ON A BOUNDAR
Y OF
NEIGHBORING SUBDOMAIN
S 138
13 ELLIPTIC DIFFERENTIAL EQUATION
S WIT
H NONLOCAL CONDITION
S
ON SHIFTS OF BOUNDAR
Y 147
NOTES 159
VI
I
VII
I CONTENT
S
III APPLICATIONS T
O THE MECHANICS OF A DEFORMABLE BODY
14 TH
E ELASTI
C MODEL 161
15 VARIATIONA
L AN
D BOUNDAR
Y VALUE PROBLEM
S 166
16 SMOOTHNES
S OF SOLUTION
S 177
17 TH
E ONE-DIMENSIONA
L CASE 180
NOTES 185
IV SEMI-BOUNDED DIFFERENTIAL-DIFFERENCE OPERATORS WITH DEGENERATION
18 SELF-ADJOINT EXTENSIO
N OF A SEMI-BOUNDED
DIFFERENTIAL-DIFFERENCE OPERATO
R 187
19 TH
E SPECTRU
M OF SEMI-BOUNDED DIFFERENTIAL-DIFFERENCE
OPERATOR
S 193
20 SMOOTHNES
S OF SOLUTION
S OF EQUATION
S WIT
H DEGENERATIO
N 198
NOTE
S 209
V NONLOCAL ELLIPTIC BOUNDARY VALUE PROBLEMS
21 NONLOCAL ELLIPTI
C PROBLEM
S WIT
H A PARAMETE
R 211
22 ELLIPTI
C EQUATION
S WIT
H NONLOCAL BOUNDAR
Y CONDITION
S
IN A CYLINDER 218
23 ELLIPTI
C DIFFERENTIAL-DIFFERENCE EQUATION
S IN A CYLINDER 225
24 APPLICATION
S T
O TH
E MULTIDIMENSIONA
L DIFFUSION PROCESSE
S 230
25 ELLIPTI
C PROBLEM
S WIT
H NONLOCAL CONDITION
S NEA
R TH
E
BOUNDAR
Y AN
D FELLER SEMIGROUPS 240
NOTES :- 247
APPENDIX
A LINEAR OPERATOR
S 249
B FUNCTIONA
L SPACES 256
C ELLIPTI
C PROBLEM
S 267
BIBLIOGRAPH
Y 275
LIST OF SYMBOLS 285
INDE
X 292
|
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| author | Skubačevskij, Aleksandr L. |
| author_facet | Skubačevskij, Aleksandr L. |
| author_role | aut |
| author_sort | Skubačevskij, Aleksandr L. |
| author_variant | a l s al als |
| building | Verbundindex |
| bvnumber | BV011108195 |
| classification_rvk | SK 560 SK 580 |
| classification_tum | MAT 355f MAT 390f |
| ctrlnum | (OCoLC)243848250 (DE-599)BVBBV011108195 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV011108195 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:04:08Z |
| institution | BVB |
| isbn | 3764354046 0817654046 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007442784 |
| oclc_num | 243848250 |
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| owner_facet | DE-12 DE-91G DE-BY-TUM DE-20 DE-703 DE-634 DE-11 DE-188 |
| physical | VIII, 293 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Operator theory |
| series2 | Operator theory |
| spelling | Skubačevskij, Aleksandr L. Verfasser aut Elliptic functional differential equations and applications Alexander L. Skubachevskii Basel [u.a.] Birkhäuser 1997 VIII, 293 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Operator theory 91 Literaturverz. S. 275 - 284 Elliptische Differentialgleichung (DE-588)4014485-9 gnd rswk-swf Optimale Kontrolle (DE-588)4121428-6 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Sobolev-Raum (DE-588)4055345-0 gnd rswk-swf Funktional-Differentialgleichung (DE-588)4155668-9 gnd rswk-swf Elliptische Funktion (DE-588)4134665-8 gnd rswk-swf Funktional-Differentialgleichung (DE-588)4155668-9 s Elliptische Differentialgleichung (DE-588)4014485-9 s Randwertproblem (DE-588)4048395-2 s DE-604 Sobolev-Raum (DE-588)4055345-0 s Elliptische Funktion (DE-588)4134665-8 s Optimale Kontrolle (DE-588)4121428-6 s Operator theory 91 (DE-604)BV000000970 91 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007442784&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Skubačevskij, Aleksandr L. Elliptic functional differential equations and applications Operator theory Elliptische Differentialgleichung (DE-588)4014485-9 gnd Optimale Kontrolle (DE-588)4121428-6 gnd Randwertproblem (DE-588)4048395-2 gnd Sobolev-Raum (DE-588)4055345-0 gnd Funktional-Differentialgleichung (DE-588)4155668-9 gnd Elliptische Funktion (DE-588)4134665-8 gnd |
| subject_GND | (DE-588)4014485-9 (DE-588)4121428-6 (DE-588)4048395-2 (DE-588)4055345-0 (DE-588)4155668-9 (DE-588)4134665-8 |
| title | Elliptic functional differential equations and applications |
| title_auth | Elliptic functional differential equations and applications |
| title_exact_search | Elliptic functional differential equations and applications |
| title_full | Elliptic functional differential equations and applications Alexander L. Skubachevskii |
| title_fullStr | Elliptic functional differential equations and applications Alexander L. Skubachevskii |
| title_full_unstemmed | Elliptic functional differential equations and applications Alexander L. Skubachevskii |
| title_short | Elliptic functional differential equations and applications |
| title_sort | elliptic functional differential equations and applications |
| topic | Elliptische Differentialgleichung (DE-588)4014485-9 gnd Optimale Kontrolle (DE-588)4121428-6 gnd Randwertproblem (DE-588)4048395-2 gnd Sobolev-Raum (DE-588)4055345-0 gnd Funktional-Differentialgleichung (DE-588)4155668-9 gnd Elliptische Funktion (DE-588)4134665-8 gnd |
| topic_facet | Elliptische Differentialgleichung Optimale Kontrolle Randwertproblem Sobolev-Raum Funktional-Differentialgleichung Elliptische Funktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007442784&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000970 |
| work_keys_str_mv | AT skubacevskijaleksandrl ellipticfunctionaldifferentialequationsandapplications |