期刊
INDIANA UNIVERSITY MATHEMATICS JOURNAL
卷 55, 期 3, 页码 1155-1174出版社
INDIANA UNIV MATH JOURNAL
DOI: 10.1512/iumj.2006.55.2706
关键词
integro-differential equations; nonlocal equations; Holder estimates; jump processes
类别
We provide a purely analytical proof of Holder continuity for harmonic functions with respect to a class of integrodifferential 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.
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