L. Potenciano-Machado

activity

20192022

most citedUniqueness and stability of an inverse problem for a semi-linear wave equation

14 citations · 14 across the 3 of their papers we have counts for

collaborators

4 papers

math.AP2022

An inverse problem for a semi-linear wave equation: a numerical study

Matti Lassas, Tony Liimatainen, Leyter Potenciano-Machado +1

We consider an inverse problem of recovering a potential associated to a semi-linear wave equation with a quadratic nonlinearity in $1 + 1$ dimensions. We develop a numerical schem…

math.AP2020

Stability estimates for the magnetic Schrödinger operator with partial measurements

L. Potenciano-Machado, A. Ruiz, L. Tzou

In this article, we study stability estimates when recovering magnetic fields and electric potentials in a simply connected open subset in $R^{n}$ with $n \geq 3$ , from measurements…

math.AP2020★ 14 cited

Uniqueness and stability of an inverse problem for a semi-linear wave equation

Matti Lassas, Tony Liimatainen, Leyter Potenciano-Machado +1

We consider the recovery of a potential associated with a semi-linear wave equation on $R^{n + 1}$ , $n \geq 1$ . We show a Hölder stability estimate for the recovery of an unk…

math.AP2019

Resolvent estimates for the magnetic Schrödinger operator in dimension $n \geq 2$

Cristóbal J. Meroño, Leyter Potenciano-Machado, Mikko Salo

It is well known that the resolvent of the free Schrödinger operator on weighted $L^{2}$ spaces has norm decaying like $λ^{- \frac{1}{2}}$ at energy $λ$ . There are several works provi…

An inverse problem for a semi-linear wave equation: a numerical study

Stability estimates for the magnetic Schrödinger operator with partial measurements

Uniqueness and stability of an inverse problem for a semi-linear wave equation

Resolvent estimates for the magnetic Schrödinger operator in dimension n≥2

Resolvent estimates for the magnetic Schrödinger operator in dimension $n \geq 2$