3 papers
math.AP2026
On the Necessity of Logarithmic Estimates for Hypoellipticity
Timur Akhunov, Lyudmila Korobenko
This paper is focused on necessary conditions for hypoellipticity of an operator of the form , where the operator is either elliptic or parabolic, $L…
math.AP2025
Degenerate elliptic equations with -admissible weights
Lyudmila Korobenko
We develop regularity theory for degenerate elliptic equations with the degeneracy controlled by a weight. More precisely, we show local boundedness and continuity of weak solution…
math.AP2024
Carnot-Carathéodory metrics associated to degenerate elliptic operators in three dimensions
Lyudmila Korobenko, Florian Meister, Olive Ross
This note is a companion paper to arXiv:1608.01630 [math.CA]. Here we generalize some of the geometric results of arXiv:1608.01630 [math.CA] to the case of a matrix fun…