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

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

2010-09-13

arxiv.org/abs/1009.2472v2

Mathematics

Analysis of PDEs

35 pages, details added to the proof of geometrical Lemma 1

Scientific paper

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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