Penalization of Dirichlet optimal control problems

Penalization of Dirichlet optimal control problems
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DOI:
10.1051/cocv:2008049
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发表时间:
2009-10
期刊:
ESAIM: Control, Optimisation and Calculus of Variations
影响因子:
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通讯作者:
E. Casas;M. Mateos;J. Raymond
E. Casas;M. Mateos;J. Raymond
中科院分区:
其他
文献类型:
--
作者:
E. Casas;M. Mateos;J. Raymond

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本文将Robin惩罚法应用于半线性椭圆型方程的Dirichlet最优控制问题。的惩罚参数方面的误差估计。将所得结果与文献中的一些结果进行了比较,并通过数值实验进行了验证。详细研究了偏微分方程解的正则性。
We apply Robin penalization to Dirichlet optimal control problems governed by semilinear elliptic equations. Error estimates in terms of the penalization parameter are stated. The results are compared with some previous ones in the literature and are checked by a numerical experiment. A detailed study of the regularity of the solutions of the PDEs is carried out.