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Hokkaido University Preprint Series in Mathematics >
FOURTH-ORDER TOTAL VARIATION FLOW WITH DIRICHLET CONDITION : CHARACTERIZATION OF EVOLUTION AND EXTINCTION TIME ESTIMATES
| Title: | FOURTH-ORDER TOTAL VARIATION FLOW WITH DIRICHLET CONDITION : CHARACTERIZATION OF EVOLUTION AND EXTINCTION TIME ESTIMATES |
| Authors: | GIGA, YOSHIKAZU Browse this author | | Kuroda, Hirotoshi Browse this author | | Matsuoka, Hideki Browse this author |
| Keywords: | Total variation ow | | extinction time | | Dirichlet boundary condition | | subdi erential |
| Issue Date: | 17-Feb-2015 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1064 |
| Start Page: | 1 |
| End Page: | 36 |
| Abstract: | We consider a fourth-order total variation ow, which is studied in image recovery and materials science. In this paper, we characterize a total variation ow in H1-space with Dirichlet boundary condition. Furthermore, we show an extinction time estimate for the solution of a total variation ow with Dirichlet boundary condition. Giga and Kohn (2011) established the same extinction time estimate in periodic case. Their argument is based on interpolation inequalities. Using extension operators, we derive this type of inequalities, which we apply to the case of Dirichlet boundary condition. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69868 |
| 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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