Any locally bounded weak solution to ∂t(|u|^{q-1}u) + P.V. ∫ |u(x)-u(y)|^{p-2}(u(x)-u(y)) / |x-y|^{n+sp} dy = 0, with 0<s<1, p>2, 0<q<p-1, is locally Hölder continuous under a parabolic tail condition.
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H\"older regularity of weak solutions to nonlocal doubly degenerate parabolic equations
Any locally bounded weak solution to ∂t(|u|^{q-1}u) + P.V. ∫ |u(x)-u(y)|^{p-2}(u(x)-u(y)) / |x-y|^{n+sp} dy = 0, with 0<s<1, p>2, 0<q<p-1, is locally Hölder continuous under a parabolic tail condition.