Decay estimates for the wave equation in two dimensions

Marius Beceanu

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arXiv · 1506.01832

Decay estimates for the wave equation in two dimensions

Marius Beceanu

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Abstract

We establish Strichartz estimates (both reversed and some direct ones), pointwise decay estimates, and weighted decay estimates for the linear wave equation in dimension two with an almost scaling-critical potential, in the case when there is no resonance or eigenvalue at the edge of the spectrum. We also prove some simple nonlinear applications.

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Marius Beceanu. 2015-06-05. Decay estimates for the wave equation in two dimensions. https://arxiv.org/abs/1506.01832

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