Boundary control of non-well-posed elliptic equations with nonlinear Neumann boundary conditions |
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| Authors: | Shu Luan Hang Gao Peng Xu |
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| Institution: | 1.School of Mathematics and Computation Science,Zhanjiang Normal College,Zhanjiang,People’s Republic of China;2.School of Mathematics and Statistics,Northeast Normal University,Changchun,People’s Republic of China |
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| Abstract: | In this paper, we consider a boundary control problem governed by a class of non-well-posed elliptic equations with nonlinear
Neumann boundary conditions. First, the existence of optimal pairs is proved. Then by considering a well-posed penalization
problem and taking limit in the optimality system for penalization problem, we obtain the necessary optimality conditions
for optimal pairs of initial control problem. |
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| Keywords: | |
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