Far Eastern Mathematical Journal

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Optimal multiplicative control for Helmholtz equation

A. S. Savenkova

2008, issue 2, P. 206–217

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.

Keywords: optimal control, Helmholtz equation, impedance

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References

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