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On stable critical points for a singular perturbation problem
| Title: | On stable critical points for a singular perturbation problem |
| Authors: | Tonegawa, Y. Browse this author |
| Issue Date: | Aug-2003 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 597 |
| Start Page: | 1 |
| End Page: | 13 |
| Abstract: | We consider a singular perturbation problem arising in the scalar phase field model which [-converges to the area func tional. Assuming the stability of the critical points for s-problcms, we show that the interface regions converge to a generalized stable minimal hypcrsurfacc as s --'t 0. The limit has L2 generalized second fundamental form and the stability condition is expressed in terms of the corresponding inequality satisfied by stable minimal hypcrsurfaccs. We show that the limit is a finite number of lines with no intersections when the dimension of the domain is 2. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69346 |
| 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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