4 citations · 10 across the 43 of their papers we have counts for
8 papers · 1 filter
The Harnack inequality for a class of nonlocal parabolic equations
Agnid Banerjee, Nicola Garofalo, Isidro H. Munive +1
In this paper we establish a scale invariant Harnack inequality for the fractional powers of parabolic operators , , where is the…
On a Bernoulli-type overdetermined free boundary problem
Murat Akman, Agnid Banerjee, Mariana Smit Vega Garcia
In this article we study a Bernoulli-type free boundary problem and generalize a work of Henrot and Shahgholian in \cite{HS1} to -harmonic PDEs. These are quasi-linear…
Twice differentiability of solutions to fully nonlinear parabolic equations near the boundary
Karthik Adimurthi, Agnid Banerjee, Ram Baran Verma
In this paper, we prove regularity for viscosity solutions to non-convex fully nonlinear parabolic equations near the boundary. This constitutes the parabolic c…
The regular free boundary in the thin obstacle problem for degenerate parabolic equations
Agnid Banerjee, Donatella Danielli, Nicola Garofalo +1
In this paper we study the existence, the optimal regularity of solutions, and the regularity of the free boundary near the so-called \emph{regular points} in a thin obstacle probl…
Gradient continuity estimates for the normalized -Poisson equation
Agnid Banerjee, Isidro H. Munive
In this paper, we obtain gradient continuity estimates for viscosity solutions of in terms of the scaling critical norm of , where is the norm…
Regularity for degenerate fully nonlinear elliptic equations with Neumann boundary conditions
Agnid Banerjee, Ram Baran Verma
In this paper, we establish regularity upto the boundary for a class of degenerate fully nonlinear elliptic equations with Neumann boundary conditions. Our main result T…
Carleman estimates for Baouendi-Grushin operators with applications to quantitative uniqueness and strong unique continuation
Agnid Banerjee, Nicola Garofalo, Ramesh Manna
In this paper we establish some new Carleman estimates for the Baouendi-Grushin operators , in (1.1) below. We apply such estimates to obtain: (i) an e…
The structure of the singular set in the thin obstacle problem for degenerate parabolic equations
Agnid Banerjee, Donatella Danielli, Nicola Garofalo +1
We study the singular set in the thin obstacle problem for degenerate parabolic equations with weight for . Such problem arises as the local extension of the…