Ag. Ramm et A. Ruiz, EXISTENCE AND UNIQUENESS OF SCATTERING SOLUTIONS IN NONSMOOTH DOMAINS, Journal of mathematical analysis and applications, 201(2), 1996, pp. 329-338
A short and self-contained proof of the existence of the scattering so
lution in exterior domains is presented for some class of second order
elliptic equations. The method does not use the integral equation; it
is based on Fredholm theory and the limiting absorption principle for
solutions in the whole space. It covers domains with Lipschitz bounda
ries, domains satisfying a cone condition, and those with the so-calle
d local compactness property. (C) 1996 Academic Press, Inc.