Fréchet derivatives in inverse obstacle scattering. (English) Zbl 0821.35147

Inverse Probl. 11, No. 2, 371-382 (1995); erratum ibid. 14, 209-210 (1998).
Summary: We are concerned with inverse obstacle scattering problems. For a fixed incident wave we consider the operator mapping an obstacle onto the far- field pattern of the scattered wave. The existence and characterizations of the Fréchet derivatives for the exterior Robin problem and the transmission problem are proved.


35R30 Inverse problems for PDEs
35Q60 PDEs in connection with optics and electromagnetic theory
78A45 Diffraction, scattering
35P25 Scattering theory for PDEs
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