Geodesic
Optimal control problem for stationary equations of elastic waves diffraction
Dalʹnevostočnyj matematičeskij žurnal, Tome 10 (2010) no. 1, pp. 31-40

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One consider the optimal control problem for stationary equations of elastic waves diffraction on three-dimensional inclusion in unbounded homogeneous medium. The problem is to minimize $L^2$-deviation of pressure field in inclusion from the given. The control is the field source in the exterior medium. The solvability of problem is proved. The algorithm of is proposed. 
@article{DVMG_2010_10_1_a3,
     author = {L. V. Illarionova},
     title = {Optimal control problem for stationary equations of elastic waves diffraction},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {31--40},
     publisher = {mathdoc},
     volume = {10},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2010_10_1_a3/}
}
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L. V. Illarionova. Optimal control problem for stationary equations of elastic waves diffraction. Dalʹnevostočnyj matematičeskij žurnal, Tome 10 (2010) no. 1, pp. 31-40. http://geodesic.mathdoc.fr/item/DVMG_2010_10_1_a3/