Essential self-adjointness of the wave operator and the limiting absorption principle on Lorentzian scattering spaces
Vasy, András
Analysis of PDEs
Differential Geometry
Functional Analysis
35L05, 35P05 (Primary), 58J47, 58J50 (Secondary)
Original · EN
We discuss the essential self-adjointness of wave operators, as well as the limiting absorption principle, in generalizations of asymptotically Minkowski settings. This is obtained via using a Fredholm framework for inverting the spectral family first, and then refining its conclusions to show its dense range in L² when acting on an appropriate subdomain.
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