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Decay of weakly charged solutions for the spherically symmetric Maxwell-Charged-Scalar-Field equations on a Reissner-Nordström exterior space-time

Van de Moortel, Maxime
arXiv (All) · Papers
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analysis-of-pdesgeneral-relativity-and-quantum-cosmology
We consider the Cauchy problem for the (non-linear) Maxwell-Charged-Scalar-Field equations with spherically symmetric initial data, on a sub-extremal Reissner--Nordström or Schwarzschild exterior space-time. We prove that the solutions are bounded and decay at an inverse polynomial rate towards time
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