Stability estimates for solutions of control problems for the Maxwell equations with mixed boundary conditions

被引：0
作者：
G. V. Alekseev
R. V. Brizitskii
机构：
[1] Russian Academy of Sciences,Institute for Applied Mathematics, Far Eastern Branch
[2] Far Eastern Federal University,undefined
来源：
Differential Equations | 2013年 / 49卷
关键词：
Weak Solution; Extremal Problem; Lipschitz Domain; Stability Estimate; Mixed Boundary Condition;
D O I：
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学科分类号：
摘要：
We consider extremal problems for the time-harmonic Maxwell equations with mixed boundary conditions for the electric field. Namely, the tangential component of the electric field is given on one part of the boundary, and an impedance boundary condition is posed on the other part. We prove the solvability of the original mixed boundary value problem and the extremal problem. We obtain sufficient conditions on the input data ensuring the stability of solutions of specific extremal problems under certain perturbations of both the performance functional and some functions occurring in the boundary value problem.
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页码：963 / 974
页数：11
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