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Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >
LOCAL SOLVABILITY OF A CONSTRAINED GRADIENT SYSTEM OF TOTAL VARIATION
| Title: | LOCAL SOLVABILITY OF A CONSTRAINED GRADIENT SYSTEM OF TOTAL VARIATION |
| Authors: | GIGA, YOSHIKAZU Browse this author | | KASHIMA, YOHEI Browse this author | | YAMAZAKI, NORIAKI Browse this author |
| Issue Date: | 18-Oct-2003 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 609 |
| Start Page: | 1 |
| End Page: | 32 |
| Abstract: | A 1¡harmonic map flow equation, a gradient system of total variation where values of unknowns are constrained in a compact manifold in RN is formulated by use of subdifferentials of a singular energy - the total variation. An abstract convergence result is established to show that solutions of approximate problem converge to a solution of the limit problem. As an application of our convergence result a local-in-time solution of 1¡harmonic map flow equation is constructed as a limit of the solutions of p¡harmonic (p > 1) map flow equation, when the initial data is smooth with small total variation under periodic boundary condition. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69358 |
| 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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