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Dal'nevostochnyi Matematicheskii Zhurnal, 2008, Volume 8, Number 2, Pages 206–217 (Mi dvmg48)  
Optimal multiplicative control for Helmholtz equation

A. S. Savenkova

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
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Abstract: Optimal control problem for Helmholtz equation in bounded domain is considered in this paper. Solvability of boundary value problem for Helmholtz equation in Sobolev spaces is studied. The problem of boundary impedance control is stated and investigated. The main result of research is the proof of existence and determination uniqueness conditions for solution to optimal control problem.
Key words: optimal control, Helmholtz equation, impedance.
Received: 24.04.2008
Document Type: Article
UDC: 517.95
MSC: 35J05
Language: Russian
Citation: A. S. Savenkova, “Optimal multiplicative control for Helmholtz equation”, Dal'nevost. Mat. Zh., 8:2 (2008), 206–217
Citation in format AMSBIB
\Bibitem{Sav08}
\by A.~S.~Savenkova
\paper Optimal multiplicative control for Helmholtz equation
\jour Dal'nevost. Mat. Zh.
\yr 2008
\vol 8
\issue 2
\pages 206--217
\mathnet{http://mi.mathnet.ru/dvmg48}
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