The inverse mean curvature flow for hypersurfaces with boundary:
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| Main Author: | |
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| Format: | Thesis Book |
| Language: | English |
| Published: |
2012
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| Subjects: | |
| Online Access: | Volltext Inhaltsverzeichnis |
| Item Description: | Nebentitel: Der Fluss entlang der inversen mittleren Krümmung für Hyperflächen mit Rand |
| Physical Description: | I, 93 S. graph. Darst. |
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| 245 | 1 | 0 | |a The inverse mean curvature flow for hypersurfaces with boundary |c vorgelegt von Thomas Marquardt |
| 246 | 1 | 3 | |a Der Fluss entlang der inversen mittleren Krümmung für Hyperflächen mit Rand |
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Record in the Search Index
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| adam_text | IMAGE 1
CONTENTS
PREFACE I
1 INTRODUCTION 1
1.1 GEOMETRIC EVOLUTION EQUATIONS 1
1.2 INVERSE MEAN CURVATURE FLOW (IMCF) 3
1.3 IMCF FOR HYPERSURFACES WITH BOUNDARY 4
2 SHORT-TIME E X I S T E N C E 7
2.1 GENERALIZED TUBULAR NEIGHBORHOOD 7
2.2 ASSOCIATED SCALAR NEUMANN PROBLEM 10
2.3 SHORT-TIME EXISTENCE 13
3 EXPANSION IN A C O N E 1 7
3.1 GRAPHS OVER A SPHERICAL CAP 17
3.2 MAXIMUM PRINCIPLE ESTIMATES 20
3.3 HIGHER ORDER HOLDER ESTIMATES 27
3.4 LONG-TIME EXISTENCE AND CONVERGENCE 32
4 EXISTENCE O F WEAK SOLUTIONS 3 5
4.1 LEVEL-SET DESCRIPTION AND APPROXIMATION 35
4.2 ESTIMATES FOR THE APPROXIMATING PROBLEMS 38
4.3 EXISTENCE FOR THE APPROXIMATING PROBLEMS 54
4.4 VARIATIONAL CHARACTERIZATION OF THE LIMIT 58
4.5 OUTLOOK : MONOTONICITY OF THE HAWKING MASS 76
APPENDIX 7 9
A . L PARABOLIC NEUMANN PROBLEMS 79
A.2 ELLIPTIC MIXED BOUNDARY VALUE PROBLEMS 81
A.3 GEOMETRIC MEASURE THEORY 84
BIBLIOGRAPHY 8 9
GERMAN T H E S I S SUMMARY 9 3
HTTP://D-NB.INFO/1029448280
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| spelling | Marquardt, Thomas Verfasser aut The inverse mean curvature flow for hypersurfaces with boundary vorgelegt von Thomas Marquardt Der Fluss entlang der inversen mittleren Krümmung für Hyperflächen mit Rand 2012 I, 93 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Nebentitel: Der Fluss entlang der inversen mittleren Krümmung für Hyperflächen mit Rand Berlin, Freie Univ., Diss., 2012 (DE-588)4113937-9 Hochschulschrift gnd-content Erscheint auch als Online-Ausgabe urn:nbn:de:kobv:188-fudissthesis000000038370-2 http://www.diss.fu-berlin.de/diss/receive/FUDISS_thesis_000000038370 kostenfrei Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025201644&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Marquardt, Thomas The inverse mean curvature flow for hypersurfaces with boundary |
| subject_GND | (DE-588)4113937-9 |
| title | The inverse mean curvature flow for hypersurfaces with boundary |
| title_alt | Der Fluss entlang der inversen mittleren Krümmung für Hyperflächen mit Rand |
| title_auth | The inverse mean curvature flow for hypersurfaces with boundary |
| title_exact_search | The inverse mean curvature flow for hypersurfaces with boundary |
| title_full | The inverse mean curvature flow for hypersurfaces with boundary vorgelegt von Thomas Marquardt |
| title_fullStr | The inverse mean curvature flow for hypersurfaces with boundary vorgelegt von Thomas Marquardt |
| title_full_unstemmed | The inverse mean curvature flow for hypersurfaces with boundary vorgelegt von Thomas Marquardt |
| title_short | The inverse mean curvature flow for hypersurfaces with boundary |
| title_sort | the inverse mean curvature flow for hypersurfaces with boundary |
| topic_facet | Hochschulschrift |
| url | http://www.diss.fu-berlin.de/diss/receive/FUDISS_thesis_000000038370 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025201644&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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