Some remarks on a class of inverse problems related to the parabolic approximation to the Maxwell equations: a controllability approach

Stratis I. G.; Yannacopoulos A. N.

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Some remarks on a class of inverse problems related to the parabolic approximation to the Maxwell equations: a controllability approach

机译：关于与麦克斯韦方程的抛物线近似有关的一类反问题的一些评论：一种可控制性方法

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We consider a class of inverse source problems for the parabolic approximation to the Maxwell equations. We relate this to an exact controllability problem; the regularisation of the considered source problems is studied with an optimal control method. Copyright (C) 2014 JohnWiley & Sons, Ltd.

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《Mathematical Methods in the Applied Sciences》 |2015年第17期|共13页
作者
Stratis I. G.; Yannacopoulos A. N.;
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正文语种 eng
中图分类数学;
关键词
Maxwell equations; parabolic approximation; inverse source problems; exact controllability; optimal control;

机译：麦克斯韦方程;抛物线逼近;逆源问题;精确可控性;最优控制;

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1. Some remarks on a class of inverse problems related to the parabolic approximation to the Maxwell equations: a controllability approach [J] . Stratis I. G., Yannacopoulos A. N. Mathematical Methods in the Applied Sciences . 2015,第17期

机译：关于与麦克斯韦方程的抛物线近似有关的一类反问题的一些评论：一种可控制性方法
2. Numerical approximations of exact controllability problems by optimal control problems for parabolic differential equations [J] . Cao YZ. Applied mathematics and computation . 2001,第2a3期

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3. Approximation of blowing up solutions to semilinear parabolic equations using "mass controlled" parabolic systems [J] . D. Fayyad, N. Nassif Mathematical models and methods in applied sciences . 1999,第7期

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4. Modal truncation of parabolic equations using the Galerkin method and inverse matrix approximations [C] . Chattergy, R., Syrmos, . 1995

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5. Analysis and approximations of terminal-state tracking optimal control problems and controllability problems constrained by linear and semilinear parabolic partial differential equations. [D] . Kwon, Hee-Dae. 2003

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Some remarks on a class of inverse problems related to the parabolic approximation to the Maxwell equations: a controllability approach

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