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arXiv · 1212.5141

Asymptotics of radiation fields in asymptotically Minkowski space

Dean Baskin·András Vasy·Jared Wunsch
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Abstract

We consider a non-trapping $n$-dimensional Lorentzian manifold endowed with an end structure modeled on the radial compactification of Minkowski space. We find a full asymptotic expansion for tempered forward solutions of the wave equation in all asymptotic regimes. The rates of decay seen in the asymptotic expansion are related to the resonances of a natural asymptotically hyperbolic problem on the "northern cap" of the compactification. For small perturbations of Minkowski space that fit into our framework, we show a rate of decay that improves on the Klainerman--Sobolev estimates.

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Dean Baskin, András Vasy, Jared Wunsch. 2014-06-29. Asymptotics of radiation fields in asymptotically Minkowski space. https://arxiv.org/abs/1212.5141

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