The denseness of the far field patterns for the transmission problem. (English) Zbl 0652.35104

Kirsch, Andreas

IMA J. Appl. Math. 37, 213-225 (1986).

In this paper the author extends the work of D. L. Colton and P. Monk [SIAM J. Appl. Math. 45, 1039-1053 (1985; Zbl 0588.76140) and 46, 506-523 (1986); SIAM J. Sci. Stat. Comput. 8, 278-291 (1987; Zbl 0623.65130)] and D. L. Colton and the author [SIAM J. Math. Anal. 15, 996-1006 (1984; Zbl 0572.76074)] to the case of a transmission problem.

Reviewer: T.R.Faulkner

MSC:

35R30	Inverse problems for PDEs
78A45	Diffraction, scattering
35J05	Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation

Keywords:

far field patterns; transmission problem

Citations:

Zbl 0588.76140; Zbl 0623.65130; Zbl 0572.76074