Hölder regularity of weak solutions to nonlocal doubly degenerate parabolic equations

2025/09/07 by Li, Qifan
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2509.05914

Abstract

We study local regularity for nonlocal doubly degenerate parabolic equations. The model equation is \beginsplit ∂_t(|u|^q-1u)+P.V.∫_ℝⁿ\frac|u(x,t)-u(y,t)|^p-2(u(x,t)-u(y,t))|x-y|^n+sp dy=0, \endsplit where 02 and 0

Citations

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Related

• Hölder regularity of doubly nonlinear nonlocal quasilinear parabolic equations in some mixed singular-degenerate regime
• Local Hölder regularity for nonlocal parabolic p-Laplace equations
• Hölder regularity for a class of doubly non linear PDEs
• Gradient Hölder regularity in mixed local and nonlocal linear parabolic problem
• Hölder regularity for mixed local and nonlocal p-Laplace parabolic equations