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Simple proof of a useful pointwise estimate for the wave equation

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Szpak,  Nikodem
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0708.2801v2.pdf
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Citation

Szpak, N. (n.d.). Simple proof of a useful pointwise estimate for the wave equation. Letters in Mathematical Physics.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5FD3-D
Abstract
We give a simple proof of a pointwise decay estimate stated in two versions, making advantage of a particular simplicity of inverting the spherically symmetric wave operator and of the comparison theorem. We briefly explain the role of this estimate in proving decay estimates for nonlinear wave equations or wave equations with potential terms.