Joan Hern'andez

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math.AP2026

Removable singularities for Lipschitz fractional caloric functions in time varying domains

Joan HernÃ¡ndez

In this paper we study removable singularities for regular $(1, \frac{1}{2 s})$ -Lipschitz solutions of the $s$ -fractional heat equation for $1/2 < s < 1$ . To do so, we define a Lipschitz…

math.AP2025

The fractional Lipschitz caloric capacity of Cantor sets

Joan HernÃ¡ndez

We characterize the s-parabolic Lipschitz caloric capacity of corner-like $s$ -parabolic Cantor sets in $R^{n + 1}$ for $1/2 < s \leq 1$ . Despite the spatial gradient of the s-h…