arXiv:1009.2472 Abstract | arXiv Analytics

arXiv:1009.2472 [math.AP]Abstract References Reviews Resources

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

Published 2010-09-13, updated 2011-04-16Version 2

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.

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

Categories: math.AP, math.PR

Subjects: 47A55, 60J35, 60J50, 60J75, 47G20

Keywords: green function, fractional laplacian, bounded smooth multidimensional open sets, differential order bigger, appropriate kato class

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