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Global small solutions to the critical radial Dirac equation with potential

Published 1 Mar 2011 in math.AP | (1103.0186v2)

Abstract: We solve globally a radial cubic Dirac equation perturbed with a small potential, with data of small critical norm H<sup>1H<sup>{1}. The main tool are new endpoint estimates of the perturbed Dirac flow for a class of radial-type initial data.

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