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

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

2003-10-19

arxiv.org/abs/gr-qc/0310091v2

Adv.Diff.Eq. 8 (2003) 595-614

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

AMS-LaTeX, 16 pages. There is an errata to this paper at gr-qc/0608073

Scientific paper

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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