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math.AP2025
Hölder regularity of weak solutions to nonlocal doubly degenerate parabolic equations
Qifan Li
We study local regularity for nonlocal doubly degenerate parabolic equations. The model equation is \begin{equation*}\begin{split} \partial_t(|u|^{q-1}u)+\mathrm{P}.\mathrm{V}.\int…
math.AP2025
Continuity estimates for degenerate parabolic double-phase equations via nonlinear potentials
Qifan Li
In this article, we study regularity properties for degenerate parabolic double-phase equations. We establish continuity estimates for bounded weak solutions in terms of elliptic R…