Scattering Theory for Hyperbolic Equations
The purpose of this note is to describe an approach to scattering theory, developed by Lax and Phillips, which is especially appropriate for hyperbolic equations. Since the classical steady-state theory of scattering was developed from the point of view of elliptic equations, it is to be expected that our approach will bring new insights into the problem. So far these new insights have resulted more in conjectures than in theorems, never-the-less a beginning has been made and we shall list some of the recent results obtained by P. D. Lax, D. Ludwig, C. S. Morawetz, and Phillips.
KeywordsHyperbolic Equation Exterior Domain Multiplicative Operator High Frequency Part Pure Point Spectrum
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