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arxiv: 1305.5418 · v2 · pith:CXY7B5FMnew · submitted 2013-05-23 · 🧮 math.AP

Regularity results for nonlocal parabolic equations

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keywords nonlocalregularityresultsequationsoperatorsparabolicabsolutelycontinuous
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We survey recent regularity results for parabolic equations involving nonlocal operators like the fractional Laplacian. We extend the results of Felsinger-Kassmann (2013) and obtain regularity estimates for nonlocal operators with kernels not being absolutely continuous with respect to the Lebesgue measure.

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