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Virial identity and weak dispersion for the magnetic Dirac equation (2009)

Abstract
We analyze the dispersive properties of a Dirac system perturbed with a magnetic field. We prove a general virial identity; as applications, we obtain smoothing and endpoint Strichartz estimates which are optimal from the decay point of view. We also prove a Hardy-type inequality for the perturbed Dirac operator.

Publication details
Download HAL:http://hal.archives-ouvertes.fr/hal-00430346/en/, http://hal.archives-ouvertes.fr/docs/00/43/03/46/PDF/diracsmoo-20090909b.pdf
Publisher HAL - CCSD
Repository CCSd/HAL : e-articles server (based on gBUS) (France)
Keywords [MATH:MATH_AP] Mathematics/Analysis of PDEs, Dirac equation, smoothing estimates, Strichartz estimates, wave equation, dispersive equations, magnetic potential
Type text
Language English