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arXiv · 1904.05700

Local smoothing and Strichartz estimates for the Klein-Gordon equation with the inverse-square potential

Hyeongjin Lee·Ihyeok Seo·Jihyeon Seok
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Abstract

We prove weighted $L^2$ estimates for the Klein-Gordon equation perturbed with singular potentials such as the inverse-square potential. We then deduce the well-posedness of the Cauchy problem for this equation with small perturbations, and go on to discuss local smoothing and Strichartz estimates which improve previously known ones.

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Hyeongjin Lee, Ihyeok Seo, Jihyeon Seok. 2019-04-11. Local smoothing and Strichartz estimates for the Klein-Gordon equation with the inverse-square potential. https://arxiv.org/abs/1904.05700

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