Subsolutions to parabolic fractional p-Laplacian equations are locally bounded for all p>1, with a bound using an L1-in-time nonlocal tail.
and Kim, K.: A Hölder estimate with an optimal t ail for nonlocal parabolic p-Laplace equations, Annali di Matematica, 203 (2024), 109–147
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Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators
Subsolutions to parabolic fractional p-Laplacian equations are locally bounded for all p>1, with a bound using an L1-in-time nonlocal tail.