Weighted L^p decay estimates of solutions to the wave equation with a potential

Details Weighted L^p decay estimates of solutions to the wave equation with a potential Weighted L^p decay estimates of solutions to the wave equation with a potential

2004-10-21

arxiv.org/abs/math/0410462v1

Mathematics

Analysis of PDEs

Scientific paper

We obtain large time decay estimates on weighted $L^p$ spaces for solutions
to the wave equation with real-valued potential $V(x)=O(|x|^{-2-a})$, $a>0$,
for $|x|>1$.

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