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Generalized Strichartz estimates for wave and Dirac equations in Aharonov-Bohm magnetic fields. (English) Zbl 1486.35085

The authors prove generalized Strichartz estimates for wave and massless Dirac equations in Aharonov-Bohm magnetic fields. They use the Hankel transform and prove precise estimates on Bessel functions. Furthermore, the authors prove a local smoothing estimate for the Klein-Gordon equation in the same magnetic field.

MSC:

35B45 A priori estimates in context of PDEs
35L05 Wave equation
35Q41 Time-dependent Schrödinger equations and Dirac equations
35L15 Initial value problems for second-order hyperbolic equations
35L81 Singular hyperbolic equations
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