Regularity for solutions of nonlocal parabolic equations II

We prove boundary regularity and a compactness result for parabolic nonlocal equations of the form u(t) - Iu = f, where the operator I is not necessarily translation invariant. As a consequence of this and the regularity results for the translation invariant case, we obtain C-1,C-alpha interior estimates in space for nontranslation invariant operators under some hypothesis on the time regularity of the boundary data. (C) 2013 Elsevier Inc. All rights reserved.