Dispersive estimates of solutions to the wave equation with a potential in dimensions $n\ge 4$

Details Dispersive estimates of solutions to the wave equation with a potential in dimensions $n\ge 4$ Dispersive estimates of solutions to the wave equation with a potential in dimensions $n\ge 4$

2006-02-03

arxiv.org/abs/math/0602058v1

Mathematics

Analysis of PDEs

24 pages

Scientific paper

We prove dispersive estimates for solutions to the wave equation with a
real-valued potential $V\in L^\infty({\bf R}^n)$, $n\ge 4$, satisfying
$V(x)=O(|x|^{-(n+1)/2-\epsilon})$, $|x|>1$, $\epsilon>0$.

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