Wave equations with moving potentials

Gong Chen

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arXiv · 1610.09586

Wave equations with moving potentials

Gong Chen

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Abstract

In this paper, we study the endpoint reversed Strichartz estimates along general time-like trajectories for wave equations in $\mathbb{R}^{3}$. We also discuss some applications of the reversed Strichartz estimates and the structure of wave operators to the wave equation with one potential. These techniques are useful to analyze the stability problem of traveling solitons.

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Gong Chen. 2016-10-30. Wave equations with moving potentials. https://arxiv.org/abs/1610.09586

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