Journal
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
Volume 38, Issue 9, Pages 1539-1573Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/03605302.2013.808211
Keywords
Holder regularity; Integro-differential operator; Moser iteration; Nonlocal operator; Parabolic equation; Weak Harnack inequality
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Funding
- German Science Foundation DFG [SFB 701]
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Weak solutions to parabolic integro-differential operators of order alpha is an element of (alpha(0), 2) are studied. Local a priori estimates of Holder norms and a weak Harnack inequality are proved. These results are robust with respect to alpha NE arrow 2. In this sense, the presentation is an extension of Moser's result from [20].
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