Geodesic
Optimal multiplicative control for Helmholtz equation
Dalʹnevostočnyj matematičeskij žurnal, Tome 8 (2008) no. 2, pp. 206-217

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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. 
@article{DVMG_2008_8_2_a5,
     author = {A. S. Savenkova},
     title = {Optimal multiplicative control for {Helmholtz} equation},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {206--217},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2008_8_2_a5/}
}
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A. S. Savenkova. Optimal multiplicative control for Helmholtz equation. Dalʹnevostočnyj matematičeskij žurnal, Tome 8 (2008) no. 2, pp. 206-217. http://geodesic.mathdoc.fr/item/DVMG_2008_8_2_a5/