4 citations · 10 across the 43 of their papers we have counts for
9 papers · 1 filter
Borderline gradient continuity for the normalized -parabolic operator
Murat Akman, Agnid Banerjee, Isidro H. Munive
In this paper, we prove gradient continuity estimates for viscosity solutions to in terms of the scaling critical norm of , where is th…
Higher order Boundary Schauder Estimates in Carnot Groups
Agnid Banerjee, Nicola Garofalo, Isidro H. Munive
In his seminal 1981 study D. Jerison showed the remarkable negative phenomenon that there exist, in general, no Schauder estimates near the characteristic boundary in the Heisenber…
Extension problem for the fractional parabolic Lamé operator and unique continuation
Agnid Banerjee, Soumen Senapati
In this paper, we introduce and analyse an explicit formulation of fractional powers of the parabolic Lamé operator and we then study the extension problem associated…
Space-like quantitative uniqueness for parabolic operators
Vedansh Arya, Agnid Banerjee
We obtain sharp maximal vanishing order at a given time level for solutions to parabolic equations with a potential . Our main result Theorem 1.1 is a parabolic generali…
Strong unique continuation for variable coefficient parabolic operators with Hardy type potential
Agnid Banerjee, Pritam Ganguly, Abhishek Ghosh
In this paper, we prove the strong unique continuation property at the origin for solutions of the following scaling critical parabolic differential inequality \[ |\operatorname{di…
The Calderón problem for space-time fractional parabolic operators with variable coefficients
Agnid Banerjee, Soumen Senapati
We study an inverse problem for variable coefficient fractional parabolic operators of the form for and show…
On the space-like analyticity in the extension problem for nonlocal parabolic equations
Agnid Banerjee, Nicola Garofalo
In this note we give an elementary proof of the space-like real analyticity of solutions to a degenerate evolution problem that arises in the study of fractional parabolic operator…
Quantitative uniqueness for fractional heat type operators
Vedansh Arya, Agnid Banerjee
In this paper we obtain quantitative bounds on the maximal order of vanishing for solutions to for via new Carleman estimates. Our main r…
Space-like strong unique continuation for some fractional parabolic equations
Vedansh Arya, Agnid Banerjee, Donatella Danielli +1
In this paper we establish the \emph{space-like} strong unique continuation for nonlocal equations of the type , for . The proof of our main resul…