79 citations · 327 across the 58 of their papers we have counts for
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Fractional thoughts
Nicola Garofalo
In this note we present some of the most basic aspects of the fractional Laplacean with a self-contained and purely didactic intent, and with a somewhat different slant from the se…
Monotonicity of generalized frequencies and the strong unique continuation property for fractional parabolic equations
Agnid Banerjee, Nicola Garofalo
We study the strong unique continuation property backwards in time for the nonlocal equation in \begin{equation}\label{one} (\partial_t - Δ)^{s}…
Structure and regularity of the singular set in the obstacle problem for the fractional Laplacian
Nicola Garofalo, Xavier Ros-Oton
We study the singular part of the free boundary in the obstacle problem for the fractional Laplacian, \ in , for general obstacles…
On Green functions for Dirichlet sub-Laplacians on H-type groups
Nicola Garofalo, Michael Ruzhansky, Durvudkhan Suragan
We construct Green functions of Dirichlet boundary value problems for sub-Laplacians on certain unbounded domains of a prototype Heisenberg-type group (prototype H-type group, in s…