The existence results for optimal control problems governed by a variational inequality |
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| Authors: | YY Zhou XQ Yang |
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| Institution: | a Department of Mathematics, Suzhou University, Suzhou, Jiangsu 215006, China
b Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong, China |
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| Abstract: | In this paper, we establish the existence of the optimal control for an optimal control problem where the state of the system is defined by a variational inequality problem with monotone type mappings. Moreover, as an application, we get several existence results of an optimal control for the optimal control problem where the system is defined by a quasilinear elliptic variational inequality problem with an obstacle. |
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| Keywords: | Optimal control Variational inequality Obstacle problem |
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