2 citations · 6 across the 7 of their papers we have counts for
5 papers · 1 filter
The Frisch--Parisi formalism for fluctuations of the Schrödinger equation
S. Kumar, F. Ponce-Vanegas, L. Roncal +1
We consider the solution of the Schrödinger equation in when the initial datum tends to the Dirac comb. Let be the fluctuations in time of $\i…
On (Global) Unique Continuation Properties of the Fractional Discrete Laplacian
Aingeru Fernández-Bertolin, Luz Roncal, Angkana Rüland
We study various qualitative and quantitative (global) unique continuation properties for the fractional discrete Laplacian. We show that while the fractional Laplacian enjoys stri…
Kato-Ponce estimates for fractional sublaplacians
L. Fanelli, L. Roncal
We give a proof of commutator estimates for fractional powers of the sublaplacian on the Heisenberg group. Our approach is based on pointwise and estimates involving square f…
Discrete Carleman estimates and three balls inequalities
Aingeru Fernández-Bertolin, Luz Roncal, Angkana Rüland +1
We prove logarithmic convexity estimates and three balls inequalities for discrete magnetic Schrödinger operators. These quantitatively connect the discrete setting in which the un…
An extension problem and trace Hardy inequality for the sublaplacian on -type groups
L. Roncal, S. Thangavelu
In this paper we study the extension problem for the sublaplacian on a -type group and use the solutions to prove trace Hardy and Hardy inequalities for fractional powers of the…