3 papers
math.NA2025
Semi-discrete heat equations with variable coefficients and the parametrix method
Ulrik S. Fjordholm, Kenneth H. Karlsen, Peter H. C. Pang
We develop a parametrix approach for constructing solutions and establishing grid-size independent estimates for semi-discrete heat equations with variable coefficients. While the…
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…