K. Ramachandran

activity

19962023

most citedThe arc length of a random lemniscate

6 citations · 13 across the 10 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.CV2019★ 2 cited

A note on the critical points of the localization landscape

Erik Lundberg, Koushik Ramachandran

Let $Ω \subset C$ be a bounded domain. In this note, we use complex variable methods to study the number of critical points of the function $v = v_{Ω}$ that solves the elliptic…

math.CV2019★ 5 cited

The closed range property for the $\partial$ -operator on planar domains

A. -K. Gallagher, J. Lebl, K. Ramachandran

Let $Ω \subset C$ be an open set. We show that $\partial$ has closed range in $L^{2} (Ω)$ if and only if the Poincaré-Dirichlet inequality holds. Moreover, we give…

A note on the critical points of the localization landscape

The closed range property for the ∂-operator on planar domains

The closed range property for the $\partial$ -operator on planar domains