Geodesic
Stability estimates in the problem of cloaking material bodies for Maxwell’s equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 12, pp. 1863-1878 Cet article a éte moissonné depuis la source Math-Net.Ru

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A control problem is considered for the three-dimensional Maxwell equations in the exterior of an impenetrable body with a boundary partly covered for cloaking. The role of the control is played by the surface impedance of the covered part of the boundary, which enters into the impedance boundary condition. The solvability of the control problem is proved, and an optimality system describing necessary conditions for an extremum is derived. An analysis of the optimality system yields sufficient conditions on the initial data that ensure the uniqueness and stability of optimal solutions for a particular cost functional. 
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     title = {Stability estimates in the problem of cloaking material bodies for {Maxwell{\textquoteright}s} equations},
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G. V. Alekseev. Stability estimates in the problem of cloaking material bodies for Maxwell’s equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 12, pp. 1863-1878. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_12_a3/

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