Cristóbal J. Meroño

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20182026

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math.AP2025

The spectrum of Dirichlet-to-Neumann maps for radial conductivities

Thierry Daudé, Fabricio Macià, Cristóbal Meroño +1

The problem of characterizing sequences of real numbers that arise as spectra of Dirichlet-to-Neumann (DtN) maps for elliptic operators has attracted considerable attention over th…

math.AP2025

The Born approximation for the fixed energy Calderón problem

Fabricio Macià, Cristóbal Meroño, Daniel Sánchez-Mendoza

The Born approximation of a potential in the context of the Calderón inverse problem is an object that can be formally defined in terms of spectral data of the Dirichlet-to-Neumann…

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…

math.AP2018

Uniqueness for the inverse fixed angle scattering problem

Juan A. Barceló, Carlos Castro, Teresa Luque +3

We present a uniqueness result in dimensions $2$ and $3$ for the inverse fixed angle scattering problem associated to the Schrödinger operator $- Δ + q$ , where $q$ is a small real val…

The spectrum of Dirichlet-to-Neumann maps for radial conductivities

The Born approximation for the fixed energy Calderón problem

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

Uniqueness for the inverse fixed angle scattering problem

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