Simple proof of a useful pointwise estimate for the wave equation

Details Simple proof of a useful pointwise estimate for the wave equation Simple proof of a useful pointwise estimate for the wave equation

2007-08-21

arxiv.org/abs/0708.2801v2

Physics

Mathematical Physics

7 pages; some minor errors corrected; numerical values of the bounds added

Scientific paper

We give a simple proof of a pointwise decay estimate in 3+1 dimensions stated
in two versions, making advantage of a particular simplicity of inverting the
spherically symmetric part of the 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.

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