David Jesus

activity

20232026

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3 papers · 1 filter

math.AP2026

Splitting of viscosity solutions

David Jesus

We give a penalization argument for splitting a continuous viscosity solution of two-sided Pucci inequalities into a solution of the same inequalities with zero boundary values and…

math.AP2026

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

David Jesus, Aelson Sobral, José Miguel Urbano

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

math.AP2026

Fractional $p$ -caloric functions are Lipschitz

David Jesus, Aelson Sobral, José Miguel Urbano

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

Splitting of viscosity solutions

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