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Convergence and optimal control problems of nonlinear evolution equations governed by time-dependent operator
| Title: | Convergence and optimal control problems of nonlinear evolution equations governed by time-dependent operator |
| Authors: | Yamazaki, Noriaki Browse this author |
| Keywords: | Nonlinear evolution equation | | Convergence | | Optimal control | | Subdi erential | | Quasilinear parabolic PDE media |
| Issue Date: | 2008 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 894 |
| Start Page: | 1 |
| End Page: | 27 |
| Abstract: | We study an abstract nonlinear evolution equation governed by time-dependent operator of subdierential type in a real Hilbert space. In this paper we discuss the convergence of solutions to our evolution equations. Also, we investigate the optimal control problems of nonlinear evolution equations. Moreover, we apply our abstract results to a quasilinear parabolic PDE with a mixed boundary condition. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69703 |
| 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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