5 papers · 1 filter
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…
Modica type gradient estimates for an inhomogeneous variant of the normalized p-laplacian evolution
Agnid Banerjee, Nicola Garofalo
In this paper, we study an inhomogeneous variant of the normalized -Laplacian evolution which has been recently treated in \cite{BG1}, \cite{Do}, \cite{MPR} and \cite{Ju}. We sh…
Gradient bounds and monotonicity of the energy for some nonlinear singular diffusion equations
Agnid Banerjee, Nicola Garofalo
We construct viscosity solutions to the nonlinear evolution equation \eqref{p} below which generalizes the motion of level sets by mean curvature (the latter corresponds to the cas…