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Hokkaido University Preprint Series in Mathematics >
ANISOTROPIC TOTAL VARIATION FLOW OF NON-DIVERGENCE TYPE ON A HIGHER DIMENSIONAL
| Title: | ANISOTROPIC TOTAL VARIATION FLOW OF NON-DIVERGENCE TYPE ON A HIGHER DIMENSIONAL |
| Authors: | Giga, Miho Browse this author | | GIGA, YOSHIKAZU Browse this author | | Pozar, Norbert Browse this author |
| Keywords: | phase transitions | | curvature flows | | crystalline mean curvature | | anisotropic total variation flow | | viscosity solutions | | comparison theorems |
| Issue Date: | 30-May-2013 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1034 |
| Start Page: | 1 |
| End Page: | 27 |
| Abstract: | We extend the theory of viscosity solutions to a class of very singular nonlinear parabolic problems of non-divergence form in a periodic domain of an arbitrary dimension with di usion given by an anisotropic total variation energy. We give a proof of a comparison principle, an outline of a proof of the stability under approximation by regularized parabolic problems, and an existence theorem for general continuous initial data, which extend the results recently obtained by the authors. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69838 |
| 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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