1 citations · 1 across the 5 of their papers we have counts for
8 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…
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…