B. Avelin

activity

20132026

most citedBoundary Estimates for Certain Degenerate and Singular Parabolic Equations

17 citations · 45 across the 19 of their papers we have counts for

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math.AP2026

Regularity of soda-can domains for the $p$ -parabolic equation

Benny Avelin, Mikko Parviainen

We classify the regularity of the origin for the $p$ -parabolic equation in the soda-can domains $$Θ_{l,θ}=\{(x,t)\in\mathbb{R}^n\times\mathbb{R}:0 < -t < θ|x|^l < θ\},\text{ where…

math.PR2026

$χ^{2}$ -cut-off phenomenon for Galerkin projections of Fokker-Planck equations with monomial potentials

Benny Avelin, Gerardo Barrera

In this manuscript, we establish the existence/non-existence of the cut-off phenomenon for the Langevin--Kolmogorov random dynamics with monomial convex potentials, possible singul…

math.AP2026

Coarse-grained ellipticity and De Giorgi-Nash-Moser theory

Scott Armstrong, Benny Avelin, Cristiana De Filippis +2

We prove local boundedness and a Harnack inequality for nonnegative weak solutions of the equation $- \nabla \cdot (a (x) \nabla u) = 0$ under a coarse-grained ellipticity assump…

Regularity of soda-can domains for the p-parabolic equation

χ2-cut-off phenomenon for Galerkin projections of Fokker-Planck equations with monomial potentials

Coarse-grained ellipticity and De Giorgi-Nash-Moser theory

Regularity of soda-can domains for the $p$ -parabolic equation

$χ^{2}$ -cut-off phenomenon for Galerkin projections of Fokker-Planck equations with monomial potentials