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Hokkaido University Preprint Series in Mathematics >
Domain dependent monotonicity formula for a singular perturbation problem
| Title: | Domain dependent monotonicity formula for a singular perturbation problem |
| Authors: | Tonegawa, Y. Browse this author |
| Issue Date: | Jul-2002 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 554 |
| Start Page: | 1 |
| End Page: | 14 |
| Abstract: | We consider a singular perturbation problem arising in the scalar phase field model with Keumann boundary conditions on convex domains, and establish a monotonicity formula for general critical points. This gives the Hausdorff distance convergence of the phase boundaries as the parameters tend to ,1ero. We apply the result to stable critical points defined on strictly convex domains, showing that the limit interfaces for stable critical points arc necessarily connected. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69303 |
| 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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