Essential self-adjointness of the wave operator and the limiting absorption principle on Lorentzian scattering spaces
Analysis of PDEs
2017-12-29 v1 Differential Geometry
Functional Analysis
Abstract
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 L^2 when acting on an appropriate subdomain.
Keywords
Cite
@article{arxiv.1712.09650,
title = {Essential self-adjointness of the wave operator and the limiting absorption principle on Lorentzian scattering spaces},
author = {András Vasy},
journal= {arXiv preprint arXiv:1712.09650},
year = {2017}
}
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15 pages