Linhan Li

activity

20182022

collaborators

3 papers

math.AP2022

Green functions and smooth distances

Joseph Feneuil, Linhan Li, Svitlana Mayboroda

In the present paper, we show that for an optimal class of elliptic operators with non-smooth coefficients on a 1-sided Chord-Arc domain, the boundary of the domain is uniformly re…

math.AP2021

Carleson estimates for the Green function on domains with lower dimensional boundaries

Guy David, Linhan Li, Svitlana Mayboroda

In the present paper, we consider an elliptic divergence form operator in $R^{n} ∖ R^{d}$ with $d < n - 1$ and prove that its Green function is almost affine, in th…

math.CA2018

$ℓ^{2}$ Decoupling in $R^{2}$ for curves with Vanishing Curvature

Chandan Biswas, Maxim Gilula, Linhan Li +2

We expand the class of curves $(φ_{1} (t), φ_{2} (t)), t \in [0, 1]$ for which the $ℓ^{2}$ decoupling conjecture holds for $2 \leq p \leq 6$ . Our class of curves includes all real-analytic r…

Green functions and smooth distances

Carleson estimates for the Green function on domains with lower dimensional boundaries

ℓ2 Decoupling in R2 for curves with Vanishing Curvature

$ℓ^{2}$ Decoupling in $R^{2}$ for curves with Vanishing Curvature