Scattering Theory for Elliptic Differential Operators in Unbounded Domains.
Technical summary rept.,
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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The purpose of the paper is to develop a new method for meromorphically continuing the S-matrix and distorted waves associated with a general class of elliptic partial differential operators and for relating the poles to resonant states. The method is applied to non-selfadjoint second order perturbations of the Laplacian acting in wedge-like regions contained in R sup N. The main analytic tools employed are the limiting absorption principle and the Schwarz reflection principle. Author
- Theoretical Mathematics