Abstract
In this paper, we improve the result in [6] for the Robin case in an impenetrable obstacle case and also give a reconstruction formula of the support function of the jump of a perturbed potential in a penetrable obstacle case. We use the enclosure method proposed by Ikehata [3]. Recently in [5], Ikehata established the new estimates of the stationary Schrödinger equation for an impenetrable obstacle and a penetrable obstacle embedded in an absorbing medium. So, we extend this estimate for the magnetic Schrödinger operator under the Robin condition on the boundary D in the two and three dimensional case in an impenetrable case. In addition, we also show a reconstruction formula of the support function for the magnetic Schrödinger operator in a penetrable case.
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