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arxiv: 1710.01253 · v3 · pith:ZA5VTMG7new · submitted 2017-09-30 · 🧮 math.AP

Dini and Schauder estimates for nonlocal fully nonlinear parabolic equations with drifts

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keywords diniequationsestimatesfullynonlinearnonlocalobtainparabolic
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We obtain Dini and Schauder type estimates for concave fully nonlinear nonlocal parabolic equations of order $\sigma\in (0,2)$ with rough and non-symmetric kernels, and drift terms. We also study such linear equations with only measurable coefficients in the time variable, and obtain Dini type estimates in the spacial variable. This is a continuation of the work [10, 11] by the first and last authors.

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