EXISTENCE AND UNIQUENESS OF SCATTERING SOLUTIONS IN NONSMOOTH DOMAINS

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.