GEODESIC COMPLETENESS FOR SOBOLEV METRICS ON THE SPACE OF IMMERSED PLANE CURVES
We study properties of Sobolev-type metrics on the space of immersed plane curves. We show that the geodesic equation for Sobolev-type metrics with constant coefficients of order 2 and higher is globally well-posed for smooth initial data as well as for initial data in certain Sobolev spaces. Thus t...
| 出版年: | Forum of Mathematics, Sigma |
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| 主要な著者: | , , |
| フォーマット: | 論文 |
| 言語: | 英語 |
| 出版事項: |
Cambridge University Press
2014-07-01
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| 主題: | |
| オンライン･アクセス: | https://www.cambridge.org/core/product/identifier/S205050941400019X/type/journal_article |