David Jesus

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math.AP2026

Lipschitz regularity for the parabolic $(s, p) -$ obstacle problem

David Jesus, Aelson Sobral, JosÃ© Miguel Urbano

We study the obstacle problem for the parabolic fractional $p -$ Laplace equation \[\partial_t u+(-Î_p)^su = 0\] in the degenerate range $2 < p < 2/ (1 - s)$ . We prove that viscosity solut…

math.AP2026

Fractional $p$ -caloric functions are Lipschitz

We study the parabolic fractional $p -$ Laplace equation $\partial_{t} u + (- I^_{p})^{s} u = 0$ in the degenerate range $2 < p < 2/ (1 - s)$ . We show that weak solutions are Lipschitz continuous…

Lipschitz regularity for the parabolic (s,p)−obstacle problem

Fractional p-caloric functions are Lipschitz

Lipschitz regularity for the parabolic $(s, p) -$ obstacle problem

Fractional $p$ -caloric functions are Lipschitz