Marko Erceg

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math.AP2025

Regularity of velocity averages in kinetic equations with heterogeneity

Marko Erceg, Kenneth H. Karlsen, Darko Mitrović

This study investigates the regularity of kinetic equations with spatial heterogeneity. Recent progress has shown that velocity averages of weak solutions $h$ in $L^{p}$ ( $p > 1$ ) are…

math.AP2025

On the regularity of entropy solutions to stochastic degenerate parabolic equations

Marko Erceg, Kenneth H. Karlsen, Darko Mitrović

We study the regularity of entropy solutions for quasilinear parabolic equations with anisotropic degeneracy and stochastic forcing. Building on previous works, we establish space-…

math.AP2023

Velocity averaging under minimal conditions for deterministic and stochastic kinetic equations with irregular drift

Marko Erceg, Kenneth H. Karlsen, Darko Mitrović

This study investigates the $L_{loc}^{1}$ compactness of velocity averages of sequences of solutions ${u_{n}}$ for a class of kinetic equations. The equations are exam…