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Abstract We study local boundedness and Hölder continuity of a parabolic equation involving the fractional p -Laplacian of order s, with 0 0 s 1, 2 p 2 ≤ p ∞, with a general right-hand side. We focus on obtaining precise Hölder continuity estimates. The proof is based on a perturbative argument using the already known Hölder continuity estimate for solutions to the equation with zero right-hand side.
Alireza Tavakoli (Fri,) studied this question.
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