Partial regularity for harmonic maps and related problems:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Hackensack, NJ [u.a.]
World Scientific
2005
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | VIII, 184 S. |
ISBN: | 9812560858 |
Internformat
MARC
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650 | 4 | |a Mathematische Physik | |
650 | 4 | |a Mathematisches Modell | |
650 | 4 | |a Harmonic maps |x Mathematical models | |
650 | 4 | |a Mathematical physics | |
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Datensatz im Suchindex
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adam_text | PARTIAL REGULARITY* HARMONIC MAPS RELATED PROBLEMS BY ROGER MOSER
COURANT INSTITUTE OF MATHEMATICAL SCIENCES NEW YORK UNIVERSITY, USA
WORLD SCIENTIFIC NEW JERSEY * LONDON * SINGAPORE * BEIJING * SHANGHAI *
HONGKONG * TAIPEI * CHENNAI CONTENTS 1. INTRODUCTION C 1 1.1 HARMONIC
MAPS 2 , 1.2 RELATED ELLIPTIC EQUATIONS 8 1.3 EVOLUTION PROBLEMS 11 1.4
NOTATION 15 2. ANALYTIC PRELIMINARIES 21 2.1 A FEW BASIC INEQUALITIES
INVOLVING SOBOLEV SPACES 21 2.2 THE HODGE DECOMPOSITION 24 2.3 BOUNDED
MEAN OSCILLATION 26 2.4 THE HARDY SPACE H^W 1 ) 35 2.5 A
GAGLIARDO-NIRENBERG TYPE INEQUALITY 45 2.6 A GEHRING TYPE LEMMA 47 3.
HARMONIC MAPS 57 3.1 THE NEAREST POINT PROJECTION AND THE SECOND
FUNDAMENTAL FORM 57 3.2 THE EULER-LAGRANGE EQUATION ; 61 3.3 STATIONARY
WEAKLY HARMONIC MAPS AND THE MONOTONICITY FORMULA 63 3.4 HIGHER
REGULARITY . . . 66 3.5 THE TARGET MANIFOLD S 1 72 3.6 A MOVING
TANGENT FRAME FIELD 79 3.7 GENERAL TARGET MANIFOLDS 83 VIII PARTIAL
REGULARITY FOR HARMONIC MAPS AND RELATED PROBLEMS 3.8 GENERALIZED
HARMONIC MAPS 91 3.9 FURTHER REMARKS , 98 3.9.1 HOMOGENEOUS MANIFOLDS 98
3.9.2 ENERGY MINIMIZING MAPS 100 4. ALMOST HARMONIC MAPS 103 4.1 THE
MONOTONICITY FORMULA 103 4.2 HOLDER CONTINUITY 106 4.3 A LEMMA OF S.
LUCKHAUS 109 4.4 MORE ABOUT THE TANGENT FRAME FIELD 116 4.5 AN ENERGY
INEQUALITY 126 4.6 SMALL DIMENSIONS 134 5. EVOLUTION PROBLEMS 143 5.1
THE STABILITY CONDITION FOR THE HARMONIC MAP HEAT FLOW . 144 5.2 HIGHER
REGULARITY FOR EVOLUTION PROBLEMS 151 5.3 THE HEAT FLOW INTO SPHERES
159 5.4 THE HEAT FLOW INTO GENERAL TARGET MANIFOLDS 164 5.5 THE
LANDAU-LIFSHITZ EQUATION . . . 168 5.6 FURTHER REMARKS 175 5.6.1 THE
HARMONIC MAP HEAT FLOW INTO HOMOGENEOUS MANIFOLDS 175 5.6.2 THE
LANDAU-LIFSHITZ EQUATION FOR ALMOST-KAHLER MANIFOLDS 176 BIBLIOGRAPHY
179 INDEX 183
|
any_adam_object | 1 |
author | Moser, Roger |
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dewey-search | 514/.74 |
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dewey-tens | 510 - Mathematics |
discipline | Mathematik |
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illustrated | Not Illustrated |
indexdate | 2024-07-09T20:07:11Z |
institution | BVB |
isbn | 9812560858 |
language | English |
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physical | VIII, 184 S. |
publishDate | 2005 |
publishDateSearch | 2005 |
publishDateSort | 2005 |
publisher | World Scientific |
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spelling | Moser, Roger Verfasser (DE-588)1206898283 aut Partial regularity for harmonic maps and related problems by Roger Moser Hackensack, NJ [u.a.] World Scientific 2005 VIII, 184 S. txt rdacontent n rdamedia nc rdacarrier Applications harmoniques - Modèles mathématiques Physique mathématique Mathematische Physik Mathematisches Modell Harmonic maps Mathematical models Mathematical physics Harmonische Abbildung (DE-588)4023452-6 gnd rswk-swf Harmonische Abbildung (DE-588)4023452-6 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013158951&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Moser, Roger Partial regularity for harmonic maps and related problems Applications harmoniques - Modèles mathématiques Physique mathématique Mathematische Physik Mathematisches Modell Harmonic maps Mathematical models Mathematical physics Harmonische Abbildung (DE-588)4023452-6 gnd |
subject_GND | (DE-588)4023452-6 |
title | Partial regularity for harmonic maps and related problems |
title_auth | Partial regularity for harmonic maps and related problems |
title_exact_search | Partial regularity for harmonic maps and related problems |
title_full | Partial regularity for harmonic maps and related problems by Roger Moser |
title_fullStr | Partial regularity for harmonic maps and related problems by Roger Moser |
title_full_unstemmed | Partial regularity for harmonic maps and related problems by Roger Moser |
title_short | Partial regularity for harmonic maps and related problems |
title_sort | partial regularity for harmonic maps and related problems |
topic | Applications harmoniques - Modèles mathématiques Physique mathématique Mathematische Physik Mathematisches Modell Harmonic maps Mathematical models Mathematical physics Harmonische Abbildung (DE-588)4023452-6 gnd |
topic_facet | Applications harmoniques - Modèles mathématiques Physique mathématique Mathematische Physik Mathematisches Modell Harmonic maps Mathematical models Mathematical physics Harmonische Abbildung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013158951&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT moserroger partialregularityforharmonicmapsandrelatedproblems |