Asymptotics of radiation fields in asymptotically Minkowski spaces

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• Dean Baskin (Northwestern)
• Wednesday 21 November 2012, 15:00-16:00
• CMS, MR3.

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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