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

Article ID Journal Published Year Pages File Type
5774133 Journal of Differential Equations 2017 18 Pages PDF
Abstract
We prove local smoothing and weighted Strichartz estimates for the Dirac equation with a Aharonov-Bohm potential. The proof, inspired by [12], relies on an explicit representation of the solution built in terms of spectral projections.
Keywords
35J1035B99Magnetic potentialsLocal smoothingDirac equation
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Dispersive estimates for the Dirac equation in an Aharonov-Bohm field
Authors
F. Cacciafesta, L. Fanelli,
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Journal
Journal of Differential Equations
Journal: Journal of Differential Equations
Related Categories
35J10
35B99
Magnetic potentials
Local smoothing
Dirac equation
Algebra and Number Theory
Analysis
Applied Mathematics
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