4 citations · 12 across the 19 of their papers we have counts for
22 papers
Probabilistic Fourier extension and the Schrödinger equation
Lyudmila Korobenko, Eric T. Sawyer
We give applications of the probabilistic Fourier extension theorem for the paraboloid in d dimensions (see [Saw7] for the sphere, and the proof there holds for a smooth compact pi…
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…
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…
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…
Weighted 1-dimensional Orlicz-Poincaré inequalities
Lyudmila Korobenko, Olly Milshstein, Lucas Yong
In this paper we establish necessary and sufficient conditions for weighted Orlicz-Poincaré inequalities in dimension one. Our theorems generalize the main results of Chua and Whee…
The Moser method and boundedness of solutions to infinitely degenerate elliptic equations
Lyudmila Korobenko, Cristian Rios, Eric Sawyer +1
We show that if is equipped with certain non-doubling metric and an Orlicz-Sobolev inequality holds for a special family of Young functions , then weak solution…