9 citations · 30 across the 13 of their papers we have counts for
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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…
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…