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math.AP2026
Inverse Semiclassical Scattering at Fixed Energy
François Nicoleau
We investigate inverse scattering at a fixed energy for semiclassical Schrödinger operators with smooth potentials. For compactly supported potentials satisfying a natural virial c…
math.AP2025
On the magnetic Dirichlet to Neumann operator on the exterior of the disk -- diamagnetism, weak-magnetic field limit and flux effects
Helffer Bernard, Nicoleau Francois
In this paper, we analyze the magnetic Dirichlet-to-Neumann operator (D-to-N map) on the exterior of the disk with respect to a magnetic potential $A_{b, ν}=A^b + A…
math.AP2024
Stable factorization of the Calderón problem via the Born approximation
Thierry Daudé, Fabricio Macià, Cristóbal Meroño +1
In this article, we prove the existence of the Born approximation in the context of the radial Calderón problem for Schrödinger operators. The Born approximation naturally appears…