4 citations · 10 across the 43 of their papers we have counts for
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Space like strong unique continuation for sublinear parabolic equations
Agnid Banerjee, Ramesh Manna
In this paper, we establish space like strong unique continuation property (sucp) for uniformly parabolic sublinear equations under appropriate structural assumptions. Our main res…
On the Strong unique continuation property of a degenerate elliptic operator with Hardy type potential
Agnid Banerjee, Arka Mallick
In this paper we prove strong unique continuation for the following degenerate elliptic equation \begin{equation}\label{e0} Δ_zu +|z|^2\partial_t^2u = Vu,\quad (z,t) \in \mathbb{R}…
Borderline regularity for fully nonlinear equations in Dini domains
Karthik Adimurthi, Agnid Banerjee
In this paper, we prove borderline gradient continuity of viscosity solutions to Fully nonlinear elliptic equations at the boundary of a $C^{1,\dini}$-domain. Our main result Theor…
Compactness methods for boundary Schauder estimates in Carnot groups
Agnid Banerjee, Nicola Garofalo, Isidro Munive
The aim of this paper is to prove Schauder estimates near a non-characteristic portion of the boundary for perturbations of horizontal Laplaceans in…