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arxiv: math/0410462 · v1 · submitted 2004-10-21 · 🧮 math.AP

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

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keywords decayequationestimatespotentialsolutionswaveweightedlarge
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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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