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arxiv: 1612.09586 · v1 · pith:7ZUKTOBDnew · submitted 2016-12-30 · 🧮 math.AP · math-ph· math.MP

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

classification 🧮 math.AP math-phmath.MP
keywords aharonov-bohmdiracequationestimatesbuiltdispersiveexplicitfield
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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.

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