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arXiv · 2203.16968

Dispersion estimates for the wave equation outside of a cylinder]{Dispersive estimates for the wave equation outside a cylinder in $\mathbb{R}^3$

Felice Iandoli·Oana Ivanovici
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Abstract

We consider the wave equation with Dirichlet boundary conditions in the exterior of a cylinder in R 3 and we construct a global in time parametrix to derive sharp dispersion estimates for all frequencies (low and high) and, as a corollary, Strichartz estimates, all matching the R 3 case.

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Felice Iandoli, Oana Ivanovici. 2022-03-31. Dispersion estimates for the wave equation outside of a cylinder]{Dispersive estimates for the wave equation outside a cylinder in $\mathbb{R}^3$. https://arxiv.org/abs/2203.16968

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