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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 in () 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.AP2025
Upwind filtering of scalar conservation laws
Giuseppe Maria Coclite, Kenneth Hvistendahl Karlsen, Nils Henrik Risebro
We study a class of multi-dimensional non-local conservation laws of the form , where the standard local divergence $\operatornam…