Cacciafesta, Federico; Yin, Zhiqing; Zhang, Junyong Generalized Strichartz estimates for wave and Dirac equations in Aharonov-Bohm magnetic fields. (English) Zbl 1486.35085 Dyn. Partial Differ. Equ. 19, No. 1, 71-90 (2022). 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. Reviewer: Alessandro Selvitella (Fort Wayne) Cited in 3 Documents 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 Keywords:Dirac equation; wave equation; Aharonov-Bohm potential; Strichartz estimates PDFBibTeX XMLCite \textit{F. Cacciafesta} et al., Dyn. Partial Differ. Equ. 19, No. 1, 71--90 (2022; Zbl 1486.35085) Full Text: DOI arXiv