14 citations · 27 across the 9 of their papers we have counts for
9 papers
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 dimensions. We develop a numerical schem…
Fixed angle inverse scattering for sound speeds close to constant
Shiqi Ma, Leyter Potenciano-Machado, Mikko Salo
We study the fixed angle inverse scattering problem of determining a sound speed from scattering measurements corresponding to a single incident wave. The main result shows that a…
Stability estimates for inverse problems for semi-linear wave equations on Lorentzian manifolds
Matti Lassas, Tony Liimatainen, Leyter Potenciano-Machado +1
This paper concerns an inverse boundary value problem of recovering a zeroth order time-dependent term of a semi-linear wave equation on a globally hyperbolic Lorentzian manifold.…
The fixed angle scattering problem with a first order perturbation
Cristóbal J. Meroño, Leyter Potenciano-Machado, Mikko Salo
We study the inverse scattering problem of determining a magnetic field and electric potential from scattering measurements corresponding to finitely many plane waves. The main res…
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 with , from measurements…
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 , . We show a Hölder stability estimate for the recovery of an unk…
Resolvent estimates for the magnetic Schrödinger operator in dimension
Cristóbal J. Meroño, Leyter Potenciano-Machado, Mikko Salo
It is well known that the resolvent of the free Schrödinger operator on weighted spaces has norm decaying like at energy . There are several works provi…
Optimal stability estimates for a Magnetic Schrödinger operator with local data
Leyter Potenciano-Machado
In this paper we prove identifiability and stability estimates for a local-data inverse boundary value problem for a magnetic Schrödinger operator in dimension . We assume…
Stability estimates for a Magnetic Schrodinger operator with partial data
Leyter Potenciano-Machado
In this paper we study local stability estimates for a magnetic Schrödinger operator with partial data on an open bounded set in dimension . This is the corresponding stab…