Abstract
We give sharp gradient estimates for harmonic functions of rotation invariant stable Lévy processes near the boundary of Lipschitz domains. We also obtain sharp gradient estimates for harmonic functions of corresponding Feynman-Kac semigroups under some assumptions on the potential $q$.
Citation
K. Bogdan. T. Kulczycki. Adam Nowak. "Gradient estimates for harmonic and $q$-harmonic functions of symmetric stable processes." Illinois J. Math. 46 (2) 541 - 556, Summer 2002. https://doi.org/10.1215/ijm/1258136210
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