Agnid Banerjee

activity

20122026

most citedSome local properties of subsolutons and supersolutions for a doubly nonlinear nonlocal parabolic

p

-Laplace equation

4 citations · 10 across the 43 of their papers we have counts for

collaborators

Showing 2023 · math.APShow all

5 papers · 2 filters

math.AP2023

An observation on eigenfunctions of the Laplacian

Agnid Banerjee, Nicola Garofalo

In his seminal 1943 paper F. Rellich proved that, in the complement of a cavity $Ω = {x \in R^{n} ∣ ∣ x ∣ > R_{0}}$ , there exist no nontrivial solution $f$ of the Helmholtz equat…

math.AP2023

A Rellich type estimate for a subelliptic Helmholtz equation with mixed homogeneities

Agnid Banerjee, Nicola Garofalo

We establish an optimal asymptotic on rings for a subelliptic Helmholtz equation with mixed homogeneities.

math.AP2023

Decay at infinity for solutions to some fractional parabolic equations

Agnid Banerjee, Abhishek Ghosh

For $s \in [1/2, 1)$ , let $u$ solve $(\partial_{t} - Δ)^{s} u = V u$ in $R^{n} \times [- T, 0]$ for some $T > 0$ where $∣∣ V ∣ ∣_{C^{2} (R^{n} \times [- T, 0])} < \infty$ . We show…

math.AP2023

Sharp asymptotic of solutions to some nonlocal parabolic equations

Agnid Banerjee, Abhishek Ghosh

We show that if $u$ solves the fractional parabolic equation $(\partial_{t} - Δ)^{s} u = V u$ in $B_{5} \times (- 25, 0]$ ( $0 < s < 1$ ) such that $u (\cdot, 0) \neq \equiv 0$ , then the maximal v…

math.AP2023

On the forward in time propagation of zeros in fractional heat type problems

Agnid Banerjee, Nicola Garofalo

In this short note we prove that if $u$ solves $(\partial_{t} - Δ)^{s} u = V u$ in $R_{x}^{n} \times R_{t}$ , and vanishes to infinite order at a point $(x_{0}, t_{0})$ , then $u \e…