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Hokkaido University Preprint Series in Mathematics >
ON FINITE TIME STOPPING PHENOMENA FOR ONE-HARMONIC MAP FLOW
| Title: | ON FINITE TIME STOPPING PHENOMENA FOR ONE-HARMONIC MAP FLOW |
| Authors: | GIGA, YOSHIKAZU Browse this author | | Kuroda, Hirotoshi Browse this author |
| Keywords: | one-harmonic map flow | | finite time stopping | | singular diffusion | | extinction | | total variation flow. |
| Issue Date: | 3-Mar-2014 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1048 |
| Start Page: | 1 |
| End Page: | 37 |
| Abstract: | For a very strong diffusion equation like total variation flow it is often observed that the solution stops at a steady state in a finite time. This phenomenon is called a finite time stopping or a finite time extinction if the steady state is zero. Such a phenomenon is also observed in one-harmonic map flow from an interval to a unit circle when initial data is piecewise constant. However, if the target manifold is a unit two-dimensional |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69852 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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