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math.AP2026
A Schauder regularity theory for nonlocal and mixed local-nonlocal viscous Hamilton$\unicode{x2013}$Jacobi equations
Espen Robstad Jakobsen, Robin Ãstern Lien, Artur Rutkowski
We prove space-time Schauder estimates $\unicode{x2013}$ optimal regularity estimates in Hölder spaces $\unicode{x2013}$ and well-posedness results for mild and classical solution…
math.AP2026
Equivalence of definitions of fractional caloric functions
Artur Rutkowski
We prove equivalence between nonnegative distributional solutions of the fractional heat equation and caloric functions, i.e., functions satisfying the mean value property with res…