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Existence and Uniqueness of Scattering Solutions in Non-smooth Domains

✍ Scribed by A.G. Ramm; A. Ruiz

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
149 KB
Volume
201
Category
Article
ISSN
0022-247X

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✦ Synopsis

A short and self-contained proof of the existence of the scattering solution 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 boundaries, domains satisfying a cone condition, and those with the so-called local compactness property.

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