Conformal mappings and boundary value problems
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| Format: | Buch |
| Sprache: | English Chinese |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1992
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| Schriftenreihe: | Translations of mathematical monographs
106 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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| 240 | 1 | 0 | |a Gong-xing-ying-she-yu-bian-zhi-wen-ti |
| 245 | 1 | 0 | |a Conformal mappings and boundary value problems |c Guo-Chun Wen |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1992 | |
| 300 | |a VIII, 303 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Translations of mathematical monographs |v 106 | |
| 500 | |a Aus d. Chines. übers. | ||
| 650 | 4 | |a Application conforme | |
| 650 | 7 | |a Applications conformes |2 ram | |
| 650 | 4 | |a Problèmes aux limites | |
| 650 | 7 | |a Problèmes aux limites |2 ram | |
| 650 | 7 | |a Randwaardeproblemen |2 gtt | |
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Conformal mapping | |
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| 650 | 0 | 7 | |a Konforme Abbildung |0 (DE-588)4164968-0 |2 gnd |9 rswk-swf |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-004628974 | |
Datensatz im Suchindex
| _version_ | 1819626909823139840 |
|---|---|
| adam_text | Contents
Preface vii
CHAPTER 1. Some Properties of Analytic and Harmonic Functions 1
§ 1. The convergence of sequences of analytic functions 1
§2. The convergence of sequences of harmonic functions 6
§3. Some properties of subharmonic functions 12
§4. The Dirichlet problem for analytic and harmonic functions 15
CHAPTER 2. Conformal Mappings of Simply Connected Domains 25
§ 1. The fundamental theorem for conformal mappings on simply
connected domains 25
§2. Boundary correspondence theorems for conformal mappings 32
§3. The distortion theorem and estimates of coefficients for
univalent functions 41
§4. The convergence of conformal mappings for sequences of
simply connected domains 57
§5. The representations of conformal mappings on polygonal
domains 65
§6. The representations of conformal mappings with orthogonal
polynomials 80
CHAPTER 3. Conformal Mappings of Multiply Connected Domains 95
§ 1. A general discussion of conformal mappings between multiply
connected domains 95
§2. Conformal mappings for domains with parallel slits 102
§3. Conformal mappings for domains with spiral slits 108
§4. The convergence of conformal mappings of sequences of
multiply connected domains 112
§5. Conformal mappings from multiply connected domains onto
circular domains 118
§6. Mappings from multiply connected domains onto strips 128
CHAPTER 4. Applications of Integrals of the Cauchy Type to
Boundary Value Problems 137
§ 1. Integrals of the Cauchy type and their limiting values 137
§2. The Riemann boundary value problem for analytic functions 149
§3. The Hilbert boundary value problem for analytic functions on
simply connected domains 154
V
vi CONTENTS
§4. Piecewise continuous boundary value problems for analytic
functions 162
§5. Mixed boundary value problems for analytic and harmonic
functions 174
CHAPTER 5. The Hilbert Boundary Value Problem for Analytic
Functions on Multiply Connected Domains 189
§ 1. Formulation of the Hilbert boundary value oroblem on
multiply connected domains 189
§2. Uniqueness of the solution to the Hilbert boundary value
problem 192
§3. A priori estimates of solutions to the Hilbert problem for
analytic functions 195
§4. Solvability of the Hilbert boundary value problem for analytic
functions 204
§5. Integral representations of solutions to the Hilbert boundary
value problem for analytic functions 211
§6. Composite boundary value problems for analytic functions on
multiply connected domains 216
CHAPTER 6. Basic Boundary Value Problems for Harmonic
Functions 231
§ 1. Uniqueness of solutions to boundary value problems for
harmonic functions 231
§2. The first and second boundary value problems for harmonic
functions 237
§3. The third boundary value problem for harmonic functions and
its generalizations 247
§4. Irregular oblique derivative boundary value problems for
harmonic functions 254
§5. Properties of biharmonic functions and the basic boundary
value problem 265
APPENDIX 1. A Brief Introduction to Quasiconformal Mappings 273
§ 1. Continuously differentiable transformations and
/T quasi mappings 273
§2. The relationship between quasiconformal mappings and partial
differential equations 278
APPENDIX 2. Some Connections between Integral Equations and
Boundary Value Problems 285
§ 1. The relationship between characteristic equations and Riemann
boundary value problems 285
§2. Solving the Dirichlet problem by the method of integral
equations 291
§3. The regularization and fundamental theorem of singular
integral equations 293
References 299
Subject Index 301
|
| any_adam_object | 1 |
| author | Wen, Guo-Chun |
| author_facet | Wen, Guo-Chun |
| author_role | aut |
| author_sort | Wen, Guo-Chun |
| author_variant | g c w gcw |
| building | Verbundindex |
| bvnumber | BV007227229 |
| callnumber-first | Q - Science |
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| callnumber-raw | QA360 |
| callnumber-search | QA360 |
| callnumber-sort | QA 3360 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 750 |
| ctrlnum | (OCoLC)25746695 (DE-599)BVBBV007227229 |
| dewey-full | 515/.9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.9 |
| dewey-search | 515/.9 |
| dewey-sort | 3515 19 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV007227229 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-23T12:23:09Z |
| institution | BVB |
| isbn | 0821845624 |
| language | English Chinese |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004628974 |
| oclc_num | 25746695 |
| open_access_boolean | |
| owner | DE-12 DE-29T DE-20 DE-634 DE-11 |
| owner_facet | DE-12 DE-29T DE-20 DE-634 DE-11 |
| physical | VIII, 303 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spellingShingle | Wen, Guo-Chun Conformal mappings and boundary value problems Translations of mathematical monographs Application conforme Applications conformes ram Problèmes aux limites Problèmes aux limites ram Randwaardeproblemen gtt Boundary value problems Conformal mapping Analytische Funktion (DE-588)4142348-3 gnd Konforme Abbildung (DE-588)4164968-0 gnd Randwertproblem (DE-588)4048395-2 gnd |
| subject_GND | (DE-588)4142348-3 (DE-588)4164968-0 (DE-588)4048395-2 |
| title | Conformal mappings and boundary value problems |
| title_alt | Gong-xing-ying-she-yu-bian-zhi-wen-ti |
| title_auth | Conformal mappings and boundary value problems |
| title_exact_search | Conformal mappings and boundary value problems |
| title_full | Conformal mappings and boundary value problems Guo-Chun Wen |
| title_fullStr | Conformal mappings and boundary value problems Guo-Chun Wen |
| title_full_unstemmed | Conformal mappings and boundary value problems Guo-Chun Wen |
| title_short | Conformal mappings and boundary value problems |
| title_sort | conformal mappings and boundary value problems |
| topic | Application conforme Applications conformes ram Problèmes aux limites Problèmes aux limites ram Randwaardeproblemen gtt Boundary value problems Conformal mapping Analytische Funktion (DE-588)4142348-3 gnd Konforme Abbildung (DE-588)4164968-0 gnd Randwertproblem (DE-588)4048395-2 gnd |
| topic_facet | Application conforme Applications conformes Problèmes aux limites Randwaardeproblemen Boundary value problems Conformal mapping Analytische Funktion Konforme Abbildung Randwertproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004628974&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
| work_keys_str_mv | AT wenguochun gongxingyingsheyubianzhiwenti AT wenguochun conformalmappingsandboundaryvalueproblems |