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Asymptotics of radiation fields in asymptotically Minkowski spaces
If you have a question about this talk, please contact Prof. Mihalis Dafermos.
Radiation fields are (appropriately rescaled) limits of solutions of wave equations along light rays. In this talk I will describe a class of (non-static) asymptotically Minkowski spacetimes for which the radiation field is defined and describe the connection between the asymptotics of the radiation field and the resonances of a related Riemannian problem on an asymptotically hyperbolic manifold. In particular, even on Minkowski space, these methods give a new understanding of the Klainerman-Sobolev estimates. This is joint work with Andras Vasy and Jared Wunsch.
This talk is part of the Geometric Analysis and Partial Differential Equations seminar series.
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