Surveys on harmonic map heat flows.
by Wu Fung Leung. === Thesis (M.Phil.)--Chinese University of Hong Kong, 1996. === Includes bibliographical references (leaves 92-95). === Acknowledgements --- p.i === Notations --- p.ii === Introduction --- p.1 === Chapter 1 --- Preliminaries --- p.8 === Chapter 1.1 --- Formulations of Harmonic...
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| Format: | Others |
| Language: | English |
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Chinese University of Hong Kong
1996
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| Online Access: | http://library.cuhk.edu.hk/record=b5888932 http://repository.lib.cuhk.edu.hk/en/item/cuhk-321546 |
| Summary: | by Wu Fung Leung. === Thesis (M.Phil.)--Chinese University of Hong Kong, 1996. === Includes bibliographical references (leaves 92-95). === Acknowledgements --- p.i === Notations --- p.ii === Introduction --- p.1 === Chapter 1 --- Preliminaries --- p.8 === Chapter 1.1 --- Formulations of Harmonic Maps --- p.8 === Chapter 1.2 --- Function Spaces --- p.11 === Chapter 1.3 --- Penalized Equations --- p.13 === Chapter 2 --- Main Lemmas --- p.15 === Chapter 2.1 --- Short Time Existence --- p.16 === Chapter 2.2 --- Energy Inequalities --- p.18 === Chapter 2.3 --- The Monotonicity Inequalities --- p.23 === Chapter 2.4 --- e - Regularity Theorem --- p.30 === Chapter 3 --- The Compact Case --- p.39 === Chapter 3.1 --- Existence and Regularity for dim M = 2 --- p.39 === Chapter 3.2 --- Existence and Regularity for dim M ≥ 2 --- p.49 === Chapter 3.3 --- Blow-up Results --- p.61 === Chapter 3.4 --- Existence of Harmonic maps --- p.69 === Chapter 4 --- The Noncompact Case --- p.74 === Chapter 4.1 --- Heat-flows from Rm --- p.75 === Chapter 4.2 --- Basic Lemmas --- p.77 === Chapter 4.3 --- Nonpositive Curvature Target Manifolds --- p.83 === Chapter 4.4 --- Dirichlet Problem at Infinity --- p.88 === Bibliography --- p.92 |
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