18 citations · 23 across the 5 of their papers we have counts for
7 papers
Hardy uniqueness principle for the linear Schrodinger equation on quantum regular trees
Aingeru Fernández-Bertolin, Andreea Grecu, Liviu I. Ignat
In this paper we consider the linear Schrodinger equation (LSE) on a regular tree with the last generation of edges of infinite length and analyze some unique continuation properti…
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 uncertainty principle for solutions of the Schr{ö}dinger equation on H-type groups
Aingeru Fernández-Bertolin, Philippe Jaming, Salvador Pérez-Esteva
In this paper we consider uncertainty principles for solutions of certain PDEs on H-type groups. We first prove that, contrary to the euclidean setting, the heat kernel on H-type g…
Hardy's uncertainty principle and unique continuation property for stochastic heat equations
Aingeru Fernández-Bertolin, Jie Zhong
The goal of this paper is to prove a uniqueness result for a stochastic heat equation with a randomly perturbed potential, which can be considered as a variant of Hardy's uncertain…
Uniqueness Properties for Discrete equations and Carleman estimates
Aingeru Fernández-Bertolin, Luis Vega
Using Carleman estimates, we give a lower bound for solutions to the discrete Schrödinger equation in both dynamic and stationary settings that allows us to prove uniqueness result…
Convexity Properties of Discrete Schrödinger evolutions and Hardy's Uncertainty Principle
Aingeru Fernández-Bertolin
In this paper we give log-convexity properties for solutions to discrete Schrödinger equations with different discrete versions of Gaussian decay at two different times. For free e…
Discrete Uncertainty Principles and Virial Identities
Aingeru Fernández-Bertolin
In this paper we review the Heisenberg uncertainty principle in a discrete setting and, as in the classical uncertainty principle, we give it a dynamical sense related to the discr…