Estimates of the Green function for the fractional Laplacian perturbed by gradient

Published 13 Sep 2010 in math.AP and math.PR | (1009.2472v2)

Abstract: The Green function of the fractional Laplacian of the differential order bigger than one and the Green function of its gradient perturbations are comparable for bounded smooth multidimensional open sets if the drift function is in an appropriate Kato class.

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