Nonlinear boundary value problems for holomorphic functions and singular integral equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Akad.-Verl.
1992
|
| Edition: | 1. ed. |
| Series: | Mathematical research
65 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 240 S. graph. Darst. |
| ISBN: | 3055014189 |
Staff View
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| 245 | 1 | 0 | |a Nonlinear boundary value problems for holomorphic functions and singular integral equations |c by Elias Wegert |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a Berlin |b Akad.-Verl. |c 1992 | |
| 300 | |a 240 S. |b graph. Darst. | ||
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface 5
Contents 7
1 Auxiliary Material 9
1.1 Function Spaces 9
1.2 Differentiable Mappings 11
1.3 Superposition Operators 13
1.4 The Leray Schauder Degree 18
1.5 Holomorphic Functions 19
1.6 Boundary Values of Holomorphic Functions 21
1.7 Linear Riemann Hilbert Problems 24
1.8 Compact Restriction Manifolds 29
1.9 Notes and Comments 34
2 Nonlinear Riemann Hilbert Problems: Solvability 36
2.1 Definitions and Classification 36
2.2 Fixed Point Equation 40
2.3 A priori Estimation 44
2.4 Fixed Point Index 52
2.5 Existence Theorems: Compact Restriction Manifolds 53
2.6 Existence Theorems: Noncompact Orientable Restriction Manifolds 58
2.7 Existence Theorems: Noncompact Nonorientable Restriction Manifolds 68
2.8 Regularity of Solutions 69
2.9 Notes and Comments 71
3 Extremal Principles 76
3.1 Variability Regions: Compact Manifolds 76
3.2 Variability Regions: Noncompact Manifolds 84
3.3 Interpolation Problems 88
3.4 Deformations of Restriction Manifolds 94
3.5 Relations to Classical Topics 97
3.6 Notes and Comments 99
8
4 Parameter depending Problems 101
4.1 Continuity 101
4.2 Differentiability 104
4.3 Asymptotics of the Indicatrix 106
4.4 Variational Formulas 114
5 Singular Integral Equations 120
5.1 Singular Integral Equations of Hammerstein Type 120
5.2 Implicit Singular Integral Equations 122
5.3 Miscellaneous Equations 124
5.4 Bifurcation 127
5.5 Notes and Comments 139
6 Applications 141
6.1 The Problem of Nehari Helton 141
6.2 Minimal H°° Interpolation 150
6.3 Polynomial Hulls 159
6.4 Potential Flow Past a Cylinder with Porous Surface 162
7 Iterative Methods 182
7.1 Restriction Manifolds Given in Parametric Form 182
7.2 Restriction Manifolds Given by an Equation 187
7.3 Problems Depending on Parameters 190
7.4 Implementation and Test Results 193
7.5 Notes and Comments 197
8 Discrete Riemann Hilbert Problems 198
8.1 Discrete Function Spaces and Interpolation 198
8.2 Discrete Linear Riemann Hilbert Problems 201
8.3 Discrete Nonlinear Riemann Hilbert Problems 209
8.4 Discrete Problems Depending on Parameters 215
8.5 Implementation and Test Results 217
8.6 Notes and Comments 222
Bibliography 223
Notation Index 237
Subject Index 239
|
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| id | DE-604.BV005400802 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:28:59Z |
| institution | BVB |
| isbn | 3055014189 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003381178 |
| oclc_num | 27205589 |
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| physical | 240 S. graph. Darst. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Akad.-Verl. |
| record_format | marc |
| series | Mathematical research |
| series2 | Mathematical research |
| spelling | Wegert, Elias 1955- Verfasser (DE-588)110972880 aut Nonlinear boundary value problems for holomorphic functions and singular integral equations by Elias Wegert 1. ed. Berlin Akad.-Verl. 1992 240 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematical research 65 Boundary value problems Numerical solutions Holomorphic functions Numerical solutions Integral equations Numerical solutions Nichtlineares Randwertproblem (DE-588)4129830-5 gnd rswk-swf Holomorphe Funktion (DE-588)4025645-5 gnd rswk-swf Nichtlineares Randwertproblem (DE-588)4129830-5 s Holomorphe Funktion (DE-588)4025645-5 s DE-604 Mathematical research 65 (DE-604)BV000008585 65 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003381178&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wegert, Elias 1955- Nonlinear boundary value problems for holomorphic functions and singular integral equations Mathematical research Boundary value problems Numerical solutions Holomorphic functions Numerical solutions Integral equations Numerical solutions Nichtlineares Randwertproblem (DE-588)4129830-5 gnd Holomorphe Funktion (DE-588)4025645-5 gnd |
| subject_GND | (DE-588)4129830-5 (DE-588)4025645-5 |
| title | Nonlinear boundary value problems for holomorphic functions and singular integral equations |
| title_auth | Nonlinear boundary value problems for holomorphic functions and singular integral equations |
| title_exact_search | Nonlinear boundary value problems for holomorphic functions and singular integral equations |
| title_full | Nonlinear boundary value problems for holomorphic functions and singular integral equations by Elias Wegert |
| title_fullStr | Nonlinear boundary value problems for holomorphic functions and singular integral equations by Elias Wegert |
| title_full_unstemmed | Nonlinear boundary value problems for holomorphic functions and singular integral equations by Elias Wegert |
| title_short | Nonlinear boundary value problems for holomorphic functions and singular integral equations |
| title_sort | nonlinear boundary value problems for holomorphic functions and singular integral equations |
| topic | Boundary value problems Numerical solutions Holomorphic functions Numerical solutions Integral equations Numerical solutions Nichtlineares Randwertproblem (DE-588)4129830-5 gnd Holomorphe Funktion (DE-588)4025645-5 gnd |
| topic_facet | Boundary value problems Numerical solutions Holomorphic functions Numerical solutions Integral equations Numerical solutions Nichtlineares Randwertproblem Holomorphe Funktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003381178&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT wegertelias nonlinearboundaryvalueproblemsforholomorphicfunctionsandsingularintegralequations |