4 citations · 10 across the 43 of their papers we have counts for
8 papers · 1 filter
Carleman estimates for a class of variable coefficient degenerate elliptic operators with applications to unique continuation
Agnid Banerjee, Ramesh Manna
In this paper, we obtain new Carleman estimates for a class of variable coefficient degenerate elliptic operators whose constant coefficient model at one point is the so called Bao…
Some local properties of subsolutons and supersolutions for a doubly nonlinear nonlocal parabolic -Laplace equation
Agnid Banerjee, Prashanta Garain, Juha Kinnunen
We establish a local boundedness estimate for weak subsolutions to a doubly nonlinear parabolic fractional -Laplace equation. Our argument relies on energy estimates and a parab…
Unified approach to regularity for quasilinear parabolic equations
Karthik Adimurthi, Agnid Banerjee
In this paper, we are interested in obtaining a unified approach for estimates for weak solutions of quasilinear parabolic equations, the prototype example being \[ u_t -…
The thin obstacle problem for some variable coefficient degenerate elliptic operators
Agnid Banerjee, Federico Buseghin, Nicola Garofalo
In this paper we establish the optimal interior regularity and the smoothness of the regular part of the free boundary in the thin obstacle problem for a class of degener…
Regularity for parabolic systems with critical growth in the gradient and applications
Agnid Banerjee, Gonzalo Dávila, Yannick Sire
Motivated by problems arising in geometric flows, we prove several regularity results for systems of local and nonlocal equations, adapting to the parabolic case a neat argument du…
Strong Backward uniqueness for sublinear parabolic equations
Vedansh Arya, Agnid Banerjee
In this paper, we establish strong backward uniqueness for solutions to sublinear parabolic equations of the type (1.1). The proof of our main result Theorem 1.1 is achieved by mea…
A strong unique continuation property for the heat operator with Hardy type potential
Agnid Banerjee, Nicola Garofalo, Ramesh Manna
In this note we prove the strong unique continuation property at the origin for the solutions of the parabolic differential inequality \[ |Δu - u_t| \leq \frac{M}{|x|^2} |u|, \] wi…
On the finite -Hausdorff measure of the free boundary in the subelliptic obstacle problem
Agnid Banerjee, Nicola Garofalo
In this note, we prove the finite -Hausdorff measure of the free boundary in the obstacle problem in a Carnot group . Here, represents the homogeneous dime…