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arxiv: math/0602058 · v1 · submitted 2006-02-03 · 🧮 math.AP · math-ph· math.MP

Dispersive estimates of solutions to the wave equation with a potential in dimensions nge 4

classification 🧮 math.AP math-phmath.MP
keywords dispersiveepsilonequationestimatespotentialsolutionswavedimensions
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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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