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arXiv · 2008.00340

Generalized Strichartz estimates for wave and Dirac equations in Aharonov-Bohm magnetic fields

Federico Cacciafesta·Zhiqing Yin·Junyong Zhang
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Abstract

We prove generalized Strichartz estimates for wave and massless Dirac equations in Aharonov-Bohm magnetic fields. Following a well established strategy to deal with scaling critical perturbations of dispersive PDEs, we make use of Hankel transform and rely on some precise estimates on Bessel functions. As a complementary result, we prove a local smoothing estimate for the Klein-Gordon equation in the same magnetic field.

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Federico Cacciafesta, Zhiqing Yin, Junyong Zhang. 2020-08-01. Generalized Strichartz estimates for wave and Dirac equations in Aharonov-Bohm magnetic fields. https://arxiv.org/abs/2008.00340

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