Wave factorization of elliptic symbols: theory and applications ; introduction to the theory of boundary value problems in non-smooth domains
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht [u.a.]
Kluwer Acad. Publ.
2000
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 176 S. graph. Darst. |
| ISBN: | 0792365313 |
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Record in the Search Index
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| adam_text | WAVE FACTORIZATION OF ELLIPTIC SYMBOLS: THEORY AND APPLICATIONS
INTRODUCTION TO THE THEORY OF BOUNDARY VALUE PROBLEMS IN NON-SMOOTH
DOMAINS BY VLADIMIR B. VASIL EV DEPARTMENT OF MATHEMATICAL ANALYSIS,
NOVGOROD STATE UNIVERSITY, NOVGOROD, RUSSIA KLUWER ACADEMIC PUBLISHERS
DORDRECHT / BOSTON / LONDON TABLE OF CONTENTS PREFACE VII 1.
DISTRIBUTIONS AND THEIR FOURIER TRANSFORMS 1 1.1. TEMPERED DISTRIBUTIONS
1 1.2. OPERATIONS WITH DISTRIBUTIONS 2 1.3. SUPPORT OF DISTRIBUTIONS 4
1.4. FOURIER TRANSFORM OF DISTRIBUTIONS 5 2. MULTIDIMENSIONAL COMPLEX
ANALYSIS 7 2.1. CONES IN THE SPACE IR M 7 2.2. RADIAL TUBE DOMAINS AND
ANALYTICAL FUNCTIONS 9 2.3. CLASSES OF ANALYTICAL FUNCTIONS AND EDGE OF
THE WEDGE THEOREM 11 3. SOBOLEV-SLOBODETSKII SPACES 13 3.1. H S (JR M )
- SPACES 13 3.2. FUNCTIONS FROM H S (JR M ) WITH SUPPORT IN A HALF-SPACE
15 3.3. SPACES RELATED TO CONES 16 4. PSEUDODIFFERENTIAL OPERATORS AND
EQUATIONS IN A HALF-SPACE 17 4.1. PSEUDODIFFERENTIAL OPERATORS . . . 17
4.2. CAUCHY TYPE INTEGRALS AND SYMBOL FACTORIZATION 19 4.3. EQUATIONS IN
A HALF-SPACE 21 4.4. BOUNDARY VALUE PROBLEMS 24 5. WAVE FACTORIZATION 27
6. DIFFRACTION ON A QUADRANT 36 7. THE PROBLEM OF INDENTATION OF A
WEDGE-SHAPED PUNCH 42 8. EQUATIONS IN AN INFINITE PLANE ANGLE 51 8.1.
MAIN RESULTS 51 8.2. WEDGES OF CODIMENSION 2 64 9. GENERAL BOUNDARY
VALUE PROBLEMS . 67 9.1. THE DIRICHLET AND NEUMANN PROBLEMS 67 9.2.
GENERAL BOUNDARY VALUE PROBLEM 72 9.3. SOME RESULTS 77 9.4. THE CAUCHY
PROBLEM V- 82 10. THE LAPLACIAN IN A PLANE INFINITE ANGLE 84 10.1. THE
DIRICHLET DATA 84 10.2. THE DIRICHLET-NEUMANN DATA 92 11. PROBLEMS WITH
POTENTIALS 105 APPENDIX 1: THE MULTIDIMENSIONAL RIEMANN PROBLEM 114 VI
TABLE OF CONTENTS APPENDIX 2: SYMBOLIC CALCULUS, NOETHER PROPERTY,
INDEX, REGULARIZATION 126 APPENDIX 3: THE MELLIN TRANSFORM 151
REFERENCES 155 INDEX * 175
|
| any_adam_object | 1 |
| author | Vasil'ev, Vladimir B. |
| author_facet | Vasil'ev, Vladimir B. |
| author_role | aut |
| author_sort | Vasil'ev, Vladimir B. |
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| building | Verbundindex |
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| dewey-full | 515.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.35 |
| dewey-search | 515.35 |
| dewey-sort | 3515.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| institution | BVB |
| isbn | 0792365313 |
| language | English |
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| physical | IX, 176 S. graph. Darst. |
| publishDate | 2000 |
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| spelling | Vasil'ev, Vladimir B. Verfasser aut Wave factorization of elliptic symbols theory and applications ; introduction to the theory of boundary value problems in non-smooth domains by Vladimir B. Vasil'ev Dordrecht [u.a.] Kluwer Acad. Publ. 2000 IX, 176 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Integrodifferentialgleichung (DE-588)4161939-0 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Elliptische Differentialgleichung (DE-588)4014485-9 gnd rswk-swf Elliptische Differentialgleichung (DE-588)4014485-9 s Randwertproblem (DE-588)4048395-2 s 1\p DE-604 Integrodifferentialgleichung (DE-588)4161939-0 s 2\p DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017424706&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Vasil'ev, Vladimir B. Wave factorization of elliptic symbols theory and applications ; introduction to the theory of boundary value problems in non-smooth domains Integrodifferentialgleichung (DE-588)4161939-0 gnd Randwertproblem (DE-588)4048395-2 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd |
| subject_GND | (DE-588)4161939-0 (DE-588)4048395-2 (DE-588)4014485-9 |
| title | Wave factorization of elliptic symbols theory and applications ; introduction to the theory of boundary value problems in non-smooth domains |
| title_auth | Wave factorization of elliptic symbols theory and applications ; introduction to the theory of boundary value problems in non-smooth domains |
| title_exact_search | Wave factorization of elliptic symbols theory and applications ; introduction to the theory of boundary value problems in non-smooth domains |
| title_full | Wave factorization of elliptic symbols theory and applications ; introduction to the theory of boundary value problems in non-smooth domains by Vladimir B. Vasil'ev |
| title_fullStr | Wave factorization of elliptic symbols theory and applications ; introduction to the theory of boundary value problems in non-smooth domains by Vladimir B. Vasil'ev |
| title_full_unstemmed | Wave factorization of elliptic symbols theory and applications ; introduction to the theory of boundary value problems in non-smooth domains by Vladimir B. Vasil'ev |
| title_short | Wave factorization of elliptic symbols |
| title_sort | wave factorization of elliptic symbols theory and applications introduction to the theory of boundary value problems in non smooth domains |
| title_sub | theory and applications ; introduction to the theory of boundary value problems in non-smooth domains |
| topic | Integrodifferentialgleichung (DE-588)4161939-0 gnd Randwertproblem (DE-588)4048395-2 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd |
| topic_facet | Integrodifferentialgleichung Randwertproblem Elliptische Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017424706&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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