Asymptotics of radiation fields in asymptotically Minkowski space
作者： Dean Baskin , András Vasy , Jared Wunsch
关键词: Radiation 、 Classification of electromagnetic fields 、 Wave equation 、 Mathematical analysis 、 Compactification (physics) 、 Rate of decay 、 Mathematics 、 Minkowski space 、 Asymptotic expansion
摘要: We consider a non-trapping $n$-dimensional Lorentzian manifold endowed with an end structure modeled on the radial compactification of Minkowski space. find full asymptotic expansion for tempered forward solutions wave equation in all regimes. The rates decay seen are related to resonances natural asymptotically hyperbolic problem ``northern cap'' compactification. For small perturbations space that fit into our framework, expansions yield rate improves Klainerman-Sobolev estimates.
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