Virial Identity and Dispersive Estimates for the $n$-Dimensional Dirac Equation

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J. Math. Sci. Univ. Tokyo
Vol. 18 (2011), No. 4, Page 441--463.

Cacciafesta, Federico
Virial Identity and Dispersive Estimates for the $n$-Dimensional Dirac Equation
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Abstract:
We extend to general dimension $n\ge1$ the virial identity proved in \cite{BoussaidDAnconaFanelli11-a} for the 3D magnetic Dirac equation. As an application we deduce Strichartz estimates for an $n$-dimensional Dirac equation perturbed with a magnetic potential.

Mathematics Subject Classification (2010): Primary 35Q41.

Received: 2011-04-04

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