Partial differential equations in Clifford analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Harlow
Longman
1998
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Pitman monographs and surveys in pure and applied mathematics
96 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 152 S. |
| ISBN: | 0582317495 |
Internformat
MARC
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Datensatz im Suchindex
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|---|---|
| adam_text | IMAGE 1
PITMAN MONOGRAPHS AND
SURVEYS IN PURE AND APPLIED MATHEMATICS 96
PARTIAL DIFFERENTIAL
EQUATIONS IN CLIFFORD ANALYSIS
ELENA OBOLASHVILI TBILISI STATE UNIVERSITY
1T
LONGMAN
IMAGE 2
CONTENTS
INTRODUCTION 1
CHAPTER I. PRINCIPLES OF CLIFFORD ALGEBRA A ND ANALYSIS 4
1 T HE BASIC NOTIONS A ND DEFINITIONS 4
2 M A T R IX REPRESENTATIONS OF CLIFFORD ALGEBRAS FOR ANY DIMENSION 9
3 DIFFERENTIAL OPERATORS AND CLASSIFICATION 14
4 LORENTZ TRANSFORMATIONS IN THE ELLIPTIC A ND HYPERBOLIC CASES 22
CHAPTER IL ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS 26
0 I N T R O D U C T I ON 26
1 CAUCHY KERNEL AND REPRESENTATIONS FOR /I-REGULAR FUNCTIONS IN RI N )
30
2 EXTENSION THEOREMS AND T HE RIEMANN-SCHWARZ PRINCIPLE OF
REFLECTION 38
3 T HE POINCARE-BERTRAND TRANSFORMATION FORMULA 41
4 GENERALIZED RIESZ SYSTEM 45
5 T HE BASIC JD-THEORY OF T HE FOURIER INTEGRAL TRANSFORMATION 49
6 B O U N D A RY VALUE PROBLEMS FOR REGULAER FUNCTIONS WITH VALUES IN R(
N ) 61
7 B O U N D A RY VALUE PROBLEMS FOR /I-REGULAR FUNCTIONS WITH VALUES IN
*SS(N), N 1 . 69
8 T HE BELTRAMI EQUATION IN R( N ) 72
CHAPTER III. HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS 78
0 I N T R O D U C T I ON 78
1 GENERALIZED MAXWELL AND DIRAC EQUATIONS 81
2 T HE HYPERBOLIC BELTRAMI EQUATION 86
3 INITIAL VALUE PROBLEMS FOR T HE KLEIN-GORDON EQUATION 90
4 CAUCHY S INITIAL VALUE PROBLEM A ND ITS MODIFICATION FOR T HE REGULAER
AND /I-REGULAR FUNCTIONS WITH VALUES IN RT N ,N-I) A N I IN
R(N,N-2), N 3 97
IMAGE 3
CONTENTS
C H A P T ER IV. PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS 103
0 INTRODUCTION 103
1 PARABOLIC REGULAER SYSTEM OF T HE FIRST KIND 104
2 INITIAL VALUE PROBLEMS FOR PARABOLIC EQUATIONS OF T HE FIRST KIND 108
3 PARABOLIC REGULAER EQUATIONS OF T HE SECOND KIND AND INITIAL VALUE
PROBLEMS 114
C H A P T ER V. EFFECTIVE SOLUTIONS OF SOME NON-LOCAL PROBLEMS 118
0 I N T R O D U C T I ON 118
1 WIENER-HOPF AND DUAL INTEGRAL EQUATIONS OF CONVOLUTION T Y PE 120
2 GENERALIZED WIENER-HOPF INTEGRAL EQUATION WITH TWO KERNEIS DEPENDING
ON T HE DIFFERENCE AND S UM OF T HE ARGUMENTS 123
3 DUAL INTEGRAL EQUATIONS WITH KERNEIS DEPENDING ON T HE DIFFERENCE AND
S UM OF A R G U M E N TS 125
4 NON-LOCAL PROBLEMS FOR HOLOMORPHIC FUNCTIONS A ND APPLICATIONS IN
ELASTICITY THEORY 127
5 NON-LOCAL PROBLEMS FOR GENERALIZED HOLOMORPHIC FUNCTIONS A ND T HE
GENERALIZED BELTRAMI EQUATION 135
6 NON-LOCAL PROBLEMS FOR POLYHARMONIC FUNCTIONS 139
EPILOGUE 146
BIBLIOGRAPHY 147
|
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| author | Obolashvili, Elena I. 1925- |
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| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:43:57Z |
| institution | BVB |
| isbn | 0582317495 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009091090 |
| oclc_num | 39913651 |
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| owner_facet | DE-384 DE-188 |
| physical | 152 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Longman |
| record_format | marc |
| series | Pitman monographs and surveys in pure and applied mathematics |
| series2 | Pitman monographs and surveys in pure and applied mathematics |
| spelling | Obolashvili, Elena I. 1925- Verfasser (DE-588)124363415 aut Partial differential equations in Clifford analysis Elena Obolashvili 1. publ. Harlow Longman 1998 152 S. txt rdacontent n rdamedia nc rdacarrier Pitman monographs and surveys in pure and applied mathematics 96 Clifford algebras Differential equations, Partial Clifford-Analysis (DE-588)4484012-3 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Clifford-Analysis (DE-588)4484012-3 s DE-604 Pitman monographs and surveys in pure and applied mathematics 96 (DE-604)BV000022446 96 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009091090&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Obolashvili, Elena I. 1925- Partial differential equations in Clifford analysis Pitman monographs and surveys in pure and applied mathematics Clifford algebras Differential equations, Partial Clifford-Analysis (DE-588)4484012-3 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4484012-3 (DE-588)4044779-0 |
| title | Partial differential equations in Clifford analysis |
| title_auth | Partial differential equations in Clifford analysis |
| title_exact_search | Partial differential equations in Clifford analysis |
| title_full | Partial differential equations in Clifford analysis Elena Obolashvili |
| title_fullStr | Partial differential equations in Clifford analysis Elena Obolashvili |
| title_full_unstemmed | Partial differential equations in Clifford analysis Elena Obolashvili |
| title_short | Partial differential equations in Clifford analysis |
| title_sort | partial differential equations in clifford analysis |
| topic | Clifford algebras Differential equations, Partial Clifford-Analysis (DE-588)4484012-3 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Clifford algebras Differential equations, Partial Clifford-Analysis Partielle Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009091090&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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