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Semilinear wave equations on the Schwarzschild manifold I: Local decay estimates

P. Blue·A. Soffer
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Abstract

The semilinear wave equation on the (outer) Schwarzschild manifold is studied. We prove local decay estimates for general (non-radial) data, deriving a-priori Morawetz type estimates.

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P. Blue, A. Soffer. 2006-08-14. Semilinear wave equations on the Schwarzschild manifold I: Local decay estimates. https://arxiv.org/abs/gr-qc/0310091

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