9 citations · 30 across the 13 of their papers we have counts for
17 papers
Asymptotics for the magnetic Dirichlet-to-Neumann eigenvalues in general domains
Bernard Helffer, Ayman Kachmar, Francois Nicoleau
Inspired by a paper by T. Chakradhar, K. Gittins, G. Habib and N. Peyerimhoff, we analyze their conjecture that the ground state energy of the magnetic Dirichlet-to-Neumann operato…
On the magnetic Dirichlet to Neumann operator on the disk -- strong diamagnetism and strong magnetic field limit--
Helffer Bernard, Nicoleau François
Inspired by a paper by T. Chakradhar, K. Gittins, G. Habib and N. Peyerimhoff, we analyze their conjecture that the ground state energy of the magnetic Dirichlet-to-Neumann operato…
Trace formulas for the magnetic Laplacian and Dirichlet to Neumann operator -- Explicit expansions --
Bernard Helffer, François Nicoleau
Inspired by a recent paper of G. Liu and X. Tan (2023), we would like to measure how the magnetic effect appears in the heat trace formula associated with the magnetic Laplacian an…
Local Hölder Stability in the Inverse Steklov and Calderón Problems for Radial Schrödinger operators and Quantified Resonances
Thierry Daudé, Niky Kamran, François Nicoleau
We obtain Hölder stability estimates for the inverse Steklov and Calderón problems for Schrödinger operators corresponding to a special class of radial potentials on the unit…
Exponential localization of Steklov eigenfunctions on warped product manifolds: the flea on the elephant phenomenon
Thierry Daudé, Bernard Helffer, François Nicoleau
This paper is devoted to the analysis of Steklov eigenvalues and Steklov eigenfunctions on a class of warped product Riemannian manifolds whose boundary consis…
Separability and Symmetry Operators for Painlevé Metrics and their Conformal Deformations
Thierry Daudé, Niky Kamran, Francois Nicoleau
Painlevé metrics are a class of Riemannian metrics which generalize the well-known separable metrics of Stäckel to the case in which the additive separation of variables for the Ha…
On non-uniqueness for the anisotropic Calder{ó}n problem with partial data
Thierry Daudé, Niky Kamran, François Nicoleau
We show that there is non-uniqueness for the Calder{ó}n problem with partial data for Riemannian metrics with H{ö}lder continuous coefficients in dimension greater or equal than th…
Stability in the inverse Steklov problem on warped product Riemannian manifolds
Thierry Daudé, Niky Kamran, François Nicoleau
In this paper, we study the amount of information contained in the Steklov spectrum of some compact manifolds with connected boundary equipped with a warped product metric. Example…
The anisotropic Calder{ó}n problem for singular metrics of warped product type: the borderline between uniqueness and invisibility
Thierry Daude, Niky Kamran, Francois Nicoleau
In this paper, we investigate the anisotropic Calder{ó}n problem on cylindrical Riemannian manifolds with boundary having two ends and equipped with singular metrics of (simple or…
On the hidden mechanism behind non-uniqueness for the anisotropic Calder{ó}n problem with data on disjoint sets
Thierry Daudé, Niky Kamran, Francois Nicoleau
We show that there is generically non-uniqueness for the anisotropic Calderón problem at fixed frequency when the Dirichlet and Neumann data are measured on disjoint sets of the bo…
Non-uniqueness results for the anisotropic Calderon problem with data measured on disjoint sets
Thierry Daudé, Niky Kamran, Francois Nicoleau
In this paper, we give some simple counterexamples to uniqueness for the Calderon problem on Riemannian manifolds with boundary when the Dirichlet and Neumann data are measured on…
Local inverse scattering at a fixed energy for radial Schr{ö}dinger operators and localization of the Regge poles
Thierry Daudé, Francois Nicoleau
We study inverse scattering problems at a fixed energy for radial Schrödinger operators on , . First, we consider the class of potentials which…
Inverse scattering at fixed energy on asymptotically hyperbolic Liouville surfaces
Thierry Daudé, Niky Kamran, François Nicoleau
In this paper, we study an inverse scattering problem on Liouville surfaces having two asymptotically hyperbolic ends. The main property of Liouville surfaces consists in the compl…
Local inverse scattering at fixed energy in spherically symmetric asymptotically hyperbolic manifolds
Thierry Daude, Damien Gobin, François Nicoleau
In this paper, we adapt the well-known \emph{local} uniqueness results of Borg-Marchenko type in the inverse problems for one dimensional Schr{ö}dinger equation to prove \emph{loca…
Direct and inverse scattering at fixed energy for massless charged Dirac fields by Kerr-Newman-de Sitter black holes
Thierry Daude, François Nicoleau
In this paper, we study the direct and inverse scattering theory at fixed energy for massless charged Dirac fields evolving in the exterior region of a Kerr-Newman-de Sitter black…
Inverse scattering at fixed energy in de Sitter-Reissner-Nordström black holes
Thierry Daudé, François Nicoleau
In this paper, we consider massless Dirac fields propagating in the outer region of de Sitter-Reissner-Nordström black holes. We show that the metric of such black holes is uniquel…
Recovering the mass and the charge of a Reissner-Nordström black hole by an inverse scattering experiment
Thierry Daudé, François Nicoleau
In this paper, we study inverse scattering of massless Dirac fields that propagate in the exterior region of a Reissner-Nordström black hole. Using a stationary approach we determi…