Dept. Math, Hokkaido Univ. EPrints Server

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

Preprint Series # 775
Hoffmann, Karl-Heinz and Kubo, Masahiro and Yamazaki, Noriaki optimal control problems for elliptic-parabolic variational inequalities with time-dependent constraints. (2006);

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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.

Item Type:Preprint
Subjects:49-xx CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION
35-xx PARTIAL DIFFERENTIAL EQUATIONS
ID Code:1517