84 citations · 549 across the 98 of their papers we have counts for
113 papers
Stability of laminar monotone shear flows in a channel for high Reynolds number
Yaniv Almog, Bernard Helffer
We consider the stability of a laminar flow in the two-dimensional channel in the large Reynolds number limit. Assuming that is str…
Cantor spectrum for multidimensional quasi-periodic Schrödinger operators
Bernard Helffer, Qinghui Liu, Yanhui Qu +1
In this paper, we investigate the spectrum of a class of multidimensional quasi-periodic Schrödinger operators that exhibit a Cantor spectrum, which provides a resolution to a ques…
Quantum Tunneling and the Aharonov-Bohm effect
Bernard Helffer, Ayman Kachmar
We investigate a Hamiltonian with radial potential wells and an Aharonov-Bohm vector potential with two poles. Assuming that the potential wells are symmetric, we derive the semi-c…
Flux and symmetry effects on quantum tunneling
Bernard Helffer, Ayman Kachmar, Mikael Persson Sundqvist
Motivated by the analysis of the tunneling effect for the magnetic Laplacian, we introduce an abstract framework for the spectral reduction of a self-adjoint operator to a hermitia…
Stability estimates for semigroups in the Banach case
Bernard Helffer
The purpose of this paper is to revisit previous works of the author with J. Sjöstrand (2010--2021) proved in the Hilbert case by considering the Banach case at the light of a pape…
Discussing semigroup bounds with resolvent estimates
Bernard Helffer, Johannes Sjöstrand, Joe Viola
The purpose of this paper is to revisit the proof of the Gearhart-Prüss-Huang-Greiner theorem for a semigroup , following the general idea of the proofs that we have seen in…