Semilinear wave equations on the schwarzschild manifold i: Local decay estimates

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Abstract

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

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Blue, P., & Soffer, A. (2003). Semilinear wave equations on the schwarzschild manifold i: Local decay estimates. Advances in Differential Equations, 8(5), 595–614. https://doi.org/10.57262/ade/1355926842

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