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

Federico Cacciafesta, Zhiqing Yin, Junyong Zhang

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2 引用 (Scopus)

摘要

We prove generalized Strichartz estimates for wave and massless Dirac equations in Aharonov-Bohm magnetic fields. Following a well estab-lished 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.

源语言英语
页(从-至)71-90
页数20
期刊Dynamics of Partial Differential Equations
19
1
DOI
出版状态已出版 - 2022

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