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Hokkaido University Preprint Series in Mathematics >
OPTIMAL CONTROL OF A SINGULAR DIFFUSION EQUATION WITH CONSTRAINT
| Title: | OPTIMAL CONTROL OF A SINGULAR DIFFUSION EQUATION WITH CONSTRAINT |
| Authors: | Ohtsuka, Takeshi Browse this author | | Shirakawa, Ken Browse this author | | Yamazaki, Noriaki Browse this author |
| Issue Date: | 2007 |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 875 |
| Abstract: | In this paper, we consider an optimal control problem for a state problem of a one dimensional Allen-Cahn type equation, which is derived from a free energy including the total variation interfacial energy and the constraint by the indicator function. So, the state problem contains the singular diffusion coming from the total variation, and another singular term coming from the constraint. The main conclusions of this paper are concerned with the existence of an optimal control (optimal pair) and the necessary condition (optimality condition) of an optimal pair. Furthermore, the analytic methods, performed in this paper, will provide an effective approximating approach to the optimal pairs of our control problem. |
| Type: | bulletin (other) |
| URI: | http://hdl.handle.net/2115/69684 |
| 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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