We prove local smoothing and weighted Strichartz estimates for the Dirac equation with a Aharonov-Bohm potential. The proof, inspired by \cite{cacser}, relies on an explicit representation of the solution built in terms of spectral projections.
Dispersive estimates for the Dirac equation in an Aharonov-Bohm field / Cacciafesta, F; Fanelli, Luca. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 263:7(2017), pp. 4382-4399. [10.1016/j.jde.2017.05.018]
Dispersive estimates for the Dirac equation in an Aharonov-Bohm field
FANELLI, Luca
2017
Abstract
We prove local smoothing and weighted Strichartz estimates for the Dirac equation with a Aharonov-Bohm potential. The proof, inspired by \cite{cacser}, relies on an explicit representation of the solution built in terms of spectral projections.File allegati a questo prodotto
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