5 citations · 35 across the 33 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.AP2021
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…
math.OC2021
Improving semi-groups bounds with resolvent estimates
Bernard Helffer, Johannes Sjöstrand
The purpose of this paper is to revisit the proof of the Gearhardt-Prüss-Hwang-Greiner theorem for a semigroup , following the general idea of the proofs that we have seen in…
math.SP2021
Semi-classical edge states for the Robin Laplacian
B. Helffer, A. Kachmar
Motivated by the study of high energy Steklov eigenfunctions, we examine the semi-classical Robin Laplacian. In the two dimensional situation, we determine an effective operator de…