Dispersive estimates for the Dirac equation in an Aharonov-Bohm field

Abstract

We prove local smoothing and weighted Strichartz estimates for the Dirac equation with a Aharonov-Bohm potential. The proof relies on an explicit representation of the solution built in terms of spectral projections.

18 pages

References in corpus (2)

• Generalized and weighted Strichartz estimates
• Strichartz estimates for the Wave and Schrodinger Equations with the Inverse-Square Potential