In this paper we estimate distances between two soft obstacles in terms of corresponding scattering amplitudes. The estimate is of logarithmic type and it is obtained by using estimates for continuation of solutions of elliptic equations and some methods of potential theory. Scattering amplitudes are given for one frequency comparable with size of scatterer and for all directions of receiver.
机构:
Ecole Polytech, Ctr Math Appl, F-91128 Palaiseau, France
Moscow Inst Phys & Technol, Dolgoprudnyi 141700, RussiaEcole Polytech, Ctr Math Appl, F-91128 Palaiseau, France
Isaev, M. I.
Novikov, R. G.
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机构:
Ecole Polytech, Ctr Math Appl, F-91128 Palaiseau, France
RAS, Inst Earthquake Predict Theory & Math Geophys, Moscow 117997, RussiaEcole Polytech, Ctr Math Appl, F-91128 Palaiseau, France