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optimal control problems for elliptic-parabolic variational inequalities with time-dependent constraints

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Title: optimal control problems for elliptic-parabolic variational inequalities with time-dependent constraints
Authors: Hoffmann, Karl-Heinz Browse this author
Kubo, Masahiro Browse this author
Yamazaki, Noriaki Browse this author
Issue Date: 2006
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 775
Abstract: In this paper we study optimal control problems for quasi-linear elliptic-parabolic variational inequalities with time-dependent constraints. We prove the existence of an optimal control which minimizes the nonlinear cost functional. Moreover, we apply our general results to some model problems. In particular, we show the necessary condition of optimal pair for a problem of PDE with a non-homogeneous Dirichlet boundary condition.
Type: bulletin (other)
URI: http://hdl.handle.net/2115/69583
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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