Boundary integral equations on contours with peaks:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Basel [u.a.]
Birkhäuser
2010
|
| Series: | Operator theory
196 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 342 S. |
| ISBN: | 9783034601702 |
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MARC
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| 100 | 1 | |a Mazʹja, Vladimir Gilelevič |d 1937- |e Verfasser |0 (DE-588)121490602 |4 aut | |
| 245 | 1 | 0 | |a Boundary integral equations on contours with peaks |c Vladimir Maz'ya ; Alexander A. Soloviev |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 2010 | |
| 300 | |a XI, 342 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Operator theory |v 196 | |
| 650 | 0 | 7 | |a Integralgleichung |0 (DE-588)4027229-1 |2 gnd |9 rswk-swf |
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| 650 | 0 | 7 | |a Randwertproblem |0 (DE-588)4048395-2 |2 gnd |9 rswk-swf |
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| 700 | 1 | |a Soloviev, Aleksander A. |e Verfasser |4 aut | |
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Record in the Search Index
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|---|---|
| adam_text |
. CONTENTS PREFACE IX 1 LP-THEORY OF BOUNDARY INTEGRAL EQUATIONS ON A
CONTOUR WITH PEAK 1.1 INTRODUCTION 1 1.2 CONTINUITY OF BOUNDARY INTEGRAL
OPERATORS 5 1.2.1 AUXILIARY ASSERTIONS 5 1.2.2 ESTIMATES FOR KERNELS OF
INTEGRAL OPERATORS 9 1.2.3 SINGLE AND DOUBLE LAYER POTENTIALS ON
CONTOURS WITH PEAK 16 1.2.4 OPERATOR IRL * T ON A CONTOUR WITH OUTWARD
PEAK 23 1.2.5 OPERATOR IRL * T ON A CONTOUR WITH INWARD PEAK 29 1.3
DIRICHLET AND NEUMANN PROBLEMS FOR A DOMAIN WITH PEAK . . . . 34 1.3.1
DIRICHLET PROBLEM FOR A DOMAIN WITH OUTWARD PEAK . . . . 34 1.3.2
BOUNDARY VALUE PROBLEMS FOR A DOMAIN WITH INWARD PEAK 40 1.3.3 AUXILIARY
BOUNDARY VALUE PROBLEMS FOR A DOMAIN WITH PEAK 43 1.4 INTEGRAL EQUATIONS
OF THE DIRICHLET AND NEUMANN PROBLEMS . . . . 60 1.4.1 INTEGRAL
EQUATIONS OF THE FIRST KIND 60 1.4.2 INTEGRAL EQUATION OF THE INTERIOR
DIRICHLET PROBLEM IN A DOMAIN WITH OUTWARD PEAK 68 1.4.3 INTEGRAL
EQUATION OF THE INTERIOR NEUMANN PROBLEM IN A DOMAIN WITH OUTWARD PEAK
73 1.4.4 INTEGRAL EQUATIONS OF THE EXTERIOR DIRICHLET AND NEUMANN
PROBLEMS IN A DOMAIN WITH INWARD PEAK . . BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/994783892 DIGITALISIERT DURCH VI CONTENTS 1.5 DIRECT
METHOD OF INTEGRAL EQUATIONS OF THE NEUMANN AND DIRICHLET PROBLEMS 95 2
BOUNDARY INTEGRAL EQUATIONS IN HOLDER SPACES ON A CONTOUR WITH PEAK 2.1
WEIGHTED HOLDER SPACES 103 2.2 BOUNDEDNESS OF INTEGRAL OPERATORS 106
2.2.1 INTEGRAL OPERATORS IN WEIGHTED HOLDER SPACES 106 2.2.2 CONTINUITY
OF THE OPERATOR NI - T 110 2.2.3 CONTINUITY OF THE OPERATOR TTI + S 120
2.2.4 CONTINUITY OF THE OPERATOR V 127 2.3 DIRICHLET AND NEUMANN
PROBLEMS IN A STRIP 134 2.4 BOUNDARY INTEGRAL EQUATIONS OF THE DIRICHLET
AND NEUMANN PROBLEMS IN DOMAINS WITH OUTWARD PEAK 151 2.4.1 AUXILIARY
ASSERTIONS 151 2.4.2 INTEGRAL EQUATION OF THE DIRICHLET PROBLEM ON A
CONTOUR WITH OUTWARD PEAK 157 2.4.3 INTEGRAL EQUATION OF THE NEUMANN
PROBLEM ON A CONTOUR WITH OUTWARD PEAK 166 2.5 BOUNDARY INTEGRAL
EQUATIONS OF THE DIRICHLET AND NEUMANN PROBLEMS IN DOMAINS WITH INWARD
PEAK 175 2.5.1 INTEGRAL EQUATION OF THE DIRICHLET PROBLEM ON A CONTOUR
WITH INWARD PEAK 175 2.5.2 INTEGRAL EQUATION OF THE NEUMANN PROBLEM ON
CONTOUR WITH INWARD PEAK 179 2.6 INTEGRAL EQUATION OF THE FIRST KIND ON
A CONTOUR WITH PEAK . 187 2.7 APPENDICES 193 APPENDIX A: PROOF OF
THEOREM 2.2.1 193 APPENDIX B: PROOF OF COROLLARY 2.2.2 198 APPENDIX C:
TO PROOF OF THEOREM 2.2.7 200 APPENDI CONTENTS VII 3.3.1 HOMOGENEOUS
INTEGRAL EQUATION OF THE PROBLEM PW . 235 3.3.2 SOLVABILITY OF THE
INTEGRAL EQUATION OF THE PROBLEM PM . . 244 3.3.3 INTEGRAL EQUATION OF
THE PROBLEM P (E) 247 3.4 INTEGRAL EQUATIONS OF THE NEUMANN PROBLEM 248
3.4.1 HOMOGENEOUS INTEGRAL EQUATION OF THE PROBLEM N^ . . . 248 3.4.2
SOLVABILITY OF THE INTEGRAL EQUATION OF THE PROBLEM TV' 6 ' . 250 3.4.3
INTEGRAL EQUATION OF THE PROBLEM N 1 ^ 253 3.5 APPENDICES 254 APPENDIX
A: COUNTEREXAMPLE 254 APPENDIX B: PROOF OF LEMMA 3.2.1 256 APPENDIX C:
PROOF OF LEMMA 3.2.2 259 APPENDIX D: PROOF OF LEMMA 3.2.3 265 APPENDIX
E: PROOF OF LEMMA 3.2.4 270 4 INTEGRAL EQUATIONS OF PLANE ELASTICITY IN
DOMAINS WITH PEAK 4.1 INTRODUCTION 273 4.2 BOUNDARY VALUE PROBLEMS OF
ELASTICITY 281 4.2.1 ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE PROBLEM PM
. . . 281 4.2.2 ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE PROBLEM J\F^ . .
293 4.2.3 PROPERTIES OF SOLUTIONS TO THE PROBLEM P (E ) 310 4.2.4
UNIQUENESS THEOREMS 312 4.3 INTEGRAL EQUATIONS ON A CONTOUR WITH INWARD
PEAK 313 4.3.1 INTEGRAL EQUATIONS OF THE PROBLEM PW 313 4.3.2 INTEGRAL
EQUATION OF THE PROBLEM N {E) |
| any_adam_object | 1 |
| author | Mazʹja, Vladimir Gilelevič 1937- Soloviev, Aleksander A. |
| author_GND | (DE-588)121490602 |
| author_facet | Mazʹja, Vladimir Gilelevič 1937- Soloviev, Aleksander A. |
| author_role | aut aut |
| author_sort | Mazʹja, Vladimir Gilelevič 1937- |
| author_variant | v g m vg vgm a a s aa aas |
| building | Verbundindex |
| bvnumber | BV025585067 |
| classification_rvk | SK 620 |
| ctrlnum | (OCoLC)554956227 (DE-599)BVBBV025585067 |
| dewey-full | 515.723 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.723 |
| dewey-search | 515.723 |
| dewey-sort | 3515.723 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV025585067 |
| illustrated | Not Illustrated |
| indexdate | 2025-04-15T08:01:02Z |
| institution | BVB |
| isbn | 9783034601702 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020182031 |
| oclc_num | 554956227 |
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| owner | DE-11 DE-83 DE-824 |
| owner_facet | DE-11 DE-83 DE-824 |
| physical | XI, 342 S. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Operator theory |
| series2 | Operator theory |
| spelling | Mazʹja, Vladimir Gilelevič 1937- Verfasser (DE-588)121490602 aut Boundary integral equations on contours with peaks Vladimir Maz'ya ; Alexander A. Soloviev Basel [u.a.] Birkhäuser 2010 XI, 342 S. txt rdacontent n rdamedia nc rdacarrier Operator theory 196 Integralgleichung (DE-588)4027229-1 gnd rswk-swf Randintegraloperator (DE-588)4273779-5 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Randintegraloperator (DE-588)4273779-5 s Integralgleichung (DE-588)4027229-1 s Randwertproblem (DE-588)4048395-2 s DE-604 Soloviev, Aleksander A. Verfasser aut Erscheint auch als Online-Ausgabe 978-3-0346-0171-9 Operator theory 196 (DE-604)BV000000970 196 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020182031&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mazʹja, Vladimir Gilelevič 1937- Soloviev, Aleksander A. Boundary integral equations on contours with peaks Operator theory Integralgleichung (DE-588)4027229-1 gnd Randintegraloperator (DE-588)4273779-5 gnd Randwertproblem (DE-588)4048395-2 gnd |
| subject_GND | (DE-588)4027229-1 (DE-588)4273779-5 (DE-588)4048395-2 |
| title | Boundary integral equations on contours with peaks |
| title_auth | Boundary integral equations on contours with peaks |
| title_exact_search | Boundary integral equations on contours with peaks |
| title_full | Boundary integral equations on contours with peaks Vladimir Maz'ya ; Alexander A. Soloviev |
| title_fullStr | Boundary integral equations on contours with peaks Vladimir Maz'ya ; Alexander A. Soloviev |
| title_full_unstemmed | Boundary integral equations on contours with peaks Vladimir Maz'ya ; Alexander A. Soloviev |
| title_short | Boundary integral equations on contours with peaks |
| title_sort | boundary integral equations on contours with peaks |
| topic | Integralgleichung (DE-588)4027229-1 gnd Randintegraloperator (DE-588)4273779-5 gnd Randwertproblem (DE-588)4048395-2 gnd |
| topic_facet | Integralgleichung Randintegraloperator Randwertproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020182031&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000970 |
| work_keys_str_mv | AT mazʹjavladimirgilelevic boundaryintegralequationsoncontourswithpeaks AT solovievaleksandera boundaryintegralequationsoncontourswithpeaks |