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arXiv · 1212.4030

Regularity for solutions of non local parabolic equations II

Hector A. Chang Lara·Gonzalo Davila
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Abstract

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 translation invariant case, we obtain $C^{1,\alpha}$ interior estimates in space for non translation invariant operators under some hypothesis on the time regularity of the boundary data.

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Hector A. Chang Lara, Gonzalo Davila. 2012-12-17. Regularity for solutions of non local parabolic equations II. https://arxiv.org/abs/1212.4030

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