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arXiv · 2012.08354

Dispersive estimates for the wave and the Klein-Gordon equations in large time inside the Friedlander domain

Oana Ivanovici
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Abstract

We prove global in time dispersion for the wave and the Klein-Gordon equation inside the Friedlander domain by taking full advantage of the space-time localization of caustics and a precise estimate of the number of waves that may cross at a given, large time. Moreover, we uncover a significant difference between Klein-Gordon and the wave equation in the low frequency, large time regime, where Klein-Gordon exhibits a worse decay that the wave, unlike in the flat space.

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Oana Ivanovici. 2020-12-15. Dispersive estimates for the wave and the Klein-Gordon equations in large time inside the Friedlander domain. https://arxiv.org/abs/2012.08354

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