Geodesic
On the optimal control problem for equations of acoustic wave diffraction
Dalʹnevostočnyj matematičeskij žurnal, Tome 18 (2018) no. 2, pp. 195-205

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One consider the optimal control problem for stationary equations of acoustic 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. 
@article{DVMG_2018_18_2_a6,
     author = {L. V. Illarionova},
     title = {On the optimal control problem for equations of acoustic wave diffraction},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {195--205},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2018_18_2_a6/}
}
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L. V. Illarionova. On the optimal control problem for equations of acoustic wave diffraction. Dalʹnevostočnyj matematičeskij žurnal, Tome 18 (2018) no. 2, pp. 195-205. http://geodesic.mathdoc.fr/item/DVMG_2018_18_2_a6/