L. Korobenko

activity

20132019

most citedHypoellipticity of a Class of Infinitely Degenerate Second Order Operators and Systems

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2019

Orlicz Sobolev Inequalities and the Doubling Condition

Lyudmila Korobenko

In [12] it has been shown that $(p, q)$ Sobolev inequality with $p > q$ implies the doubling condition on the underlying measure. We show that even weaker Orlicz-Sobolev inequalities,…

math.AP2017

Hypoellipticity without loss of derivatives for Fedii's type operators

Timur Akhunov, Lyudmila Korobenko, Cristian Rios

We prove that second order linear operators on $R^{n + m}$ of the form $L (x, y, D_{x}, D_{y}) = L_{1} (x, D_{x}) + g (x) L_{2} (y, D_{y})$ , where $L_{1}$ and $L_{2}$ satisfy Morimoto's super-logari…

math.AP2013★ 1 cited

Hypoellipticity of a Class of Infinitely Degenerate Second Order Operators and Systems

Lyudmila Korobenko, Cristian Rios

In this paper we establish a hypoellipticity result for second order linear operators comprised by a linear combination, with infinite vanishing coefficients, of subelliptic operat…