A perturbative approach to Hölder continuity of solutions to a nonlocal p-parabolic equation

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.