David Jesus

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20242026

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math.AP2026

Hölder gradient estimates for fractional $p$ -caloric functions

Davide Giovagnoli, David Jesus, Luis Silvestre

We establish interior $C^{1, α}$ regularity estimates, for some $α > 0$ , for fractional $p$ -caloric functions when $p$ is in the range $p \in (2, 2/ (1 - s))$ . As a consequence, we deduc…

math.AP2026

A transmission problem arising from the two-phase Stefan problem

Fausto Ferrari, Davide Giovagnoli, David Jesus

We study a parabolic transmission problem whose interface condition depends on the time derivative of the solution. This model arises naturally as the linearized limiting profile o…

Hölder gradient estimates for fractional p-caloric functions

A transmission problem arising from the two-phase Stefan problem

Hölder gradient estimates for fractional $p$ -caloric functions