6 papers · 1 filter
Quantitative uniqueness for parabolic equations with Hölder potentials
Agnid Banerjee, Nicola Garofalo
In this note we derive a space-like quantitative uniqueness result for parabolic operators with Hölder zero-order term that interpolates between the Donnelly-Fefferman and the Bou…
A strong unique continuation result for the Baouendi operator
Agnid Banerjee, Nicola Garofalo
We establish a strong unique continuation property for the subelliptic Baouendi operator under the presence of zero-order perturbations satisfying an almost Hardy-type growth condi…
Absence of spectrum for asymptotically flat diffusions in region with cavities
Agnid Banerjee, Nicola Garofalo
We study solutions to variable-coefficient elliptic equations of the form $-\D(A(x) \nabla u) = κu$, , in an exterior domain $\Om\subset \Rn$, where is uniformly elli…
On unique continuation in measure for fractional heat equations
Agnid Banerjee, Nicola Garofalo
We prove a theorem of unique continuation in measure for nonlocal equations of the type , for . Our main result, Theorem 1.1, establishes a…
Sharp order of vanishing for parabolic equations, nodal set estimates and Landis type results
Vedansh Arya, Agnid Banerjee, Nicola Garofalo
We establish a new sharp estimate of the order of vanishing of solutions to parabolic equations with variable coefficients. For real-analytic leading coefficients, we prove a local…
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…