Title: Holder estimates for solutions of integro differential equations like the fractional laplace

Authors: Luis Silvestre

Issue: Volume 55 (2006), Issue 3, 1155-1174

Abstract: We provide a purely analytical proof of H\"older continuity for harmonic functions with respect to a class of integro-differential equations like the ones associated with purely jump processes. The assumptions on the operator are more flexible than in previous works. Our assumptions include the case of an operator with variable order, without any continuity assumption in that order.