Bernard Helffer

发表

The Distribution of Surface Superconductivity Along the Boundary: On a Conjecture of X. B. Pan

Yaniv Almog, Bernard Helffer, 2007, SIAM J. Math. Anal..

Eigenvalue estimates for a three-dimensional magnetic Schrödinger operator

Bernard Helffer, Yuri A. Kordyukov, B. Helffer, 2012, Asymptot. Anal..

Semiclassical reduction for magnetic Schrödinger operator with periodic zero-range potentials and applications

Bernard Helffer, Konstantin Pankrashkin, B. Helffer, 2008, Asymptot. Anal..

On semi-classical questions related to signal analysis

Taous-Meriem Laleg-Kirati, Bernard Helffer, 2011, Asymptot. Anal..

Tunneling between corners for Robin Laplacians

Bernard Helffer, Konstantin Pankrashkin, 2015, J. Lond. Math. Soc..

Spectral theory and applications. An elementary introductory course. Version 2008-2009

Bernard Helffer, 2009 .

Numerical Analysis of Nodal Sets for Eigenvalues of Aharonov–Bohm Hamiltonians on the Square with Application to Minimal Partitions

Bernard Helffer, Virginie Bonnaillie-Noël, B. Helffer, 2011, Exp. Math..

Superconductivity near the Normal State in A Half-Plane under the Action of A Perpendicular Electric Current and an Induced Magnetic Field, Part II: The Large Conductivity Limit

Yaniv Almog, Bernard Helffer, Xing-Bin Pan, 2012, SIAM J. Math. Anal..

Main Results for Large Magnetic Fields in Dimension 3

Bernard Helffer, Søren Fournais, 2009 .

On Spectral Properties of the Bloch-Torrey Operator in Two Dimensions

Bernard Helffer, Denis Grebenkov, D. Grebenkov, 2016, SIAM J. Math. Anal..

Spectral analysis near a Dirac type crossing in a weak non-constant magnetic field

Horia D. Cornean, Bernard Helffer, Radu Purice, 2021, Transactions of the American Mathematical Society.

Level sets of certain Neumann eigenfunctions under deformation of Lipschitz domains Application to the Extended Courant Property

Bernard Helffer, Pierre B'erard, B. Helffer, 2018, Annales de la Faculté des sciences de Toulouse : Mathématiques.

Computing nodal deficiency with a refined spectral flow

Bernard Helffer, Gregory Berkolaiko, Mikael Persson Sundqvist, 2022 .

Courant-sharp Robin eigenvalues for the square: The case of negative Robin parameter

Bernard Helffer, Katie Gittins, 2021, Asymptotic Analysis.

Hearing the shape of a magnetic edge in the semiclassical limit

Bernard Helffer, Ayman Kachmar, Wafaa Assaad, 2021 .

Exponential localization of Steklov eigenfunctions on warped product manifolds: the flea on the elephant phenomenon

Bernard Helffer, Thierry Daud'e, Franccois Nicoleau, 2021, Annales mathématiques du Québec.

Non-boundedness of the number of super level domains of eigenfunctions

Bernard Helffer, Philippe Charron, Pierre B'erard, 2021, Journal d'Analyse Mathématique.

Spectral flow for pair compatible equipartitions

Bernard Helffer, Mikael Persson Sundqvist, B. Helffer, 2020, Communications in Partial Differential Equations.

Nonlinear eigenvalues and analytic hypoellipticity

Ari Laptev, Bernard Helffer, Sagun Chanillo, 2002 .

Upper critical field and location of surface nucleation of superconductivity

Bernard Helffer, Xing-Bin Pan, 2003 .

Spectral Methods in Surface Superconductivity

Bernard Helffer, Søren Fournais, B. Helffer, 2010 .

Criteria to the Poincaré inequality associated with Dirichlet forms in ℝd, d ≥ 2

Bernard Helffer, Francis Nier, F. Nier, 2003 .

Sturm’s theorem on zeros of linear combinations of eigenfunctions

Bernard Helffer, Pierre B'erard, B. Helffer, 2017, Expositiones Mathematicae.

Semi-Classical Analysis for the Schrödinger Operator and Applications

Bernard Helffer, B. Helffer, 1988 .

Around the Transfer Operator and the Trotter-Kato Formula

Bernard Helffer, B. Helffer, 1995 .

Quantitative Analysis of Metastability in Reversible Diffusion Processes Via a Witten Complex Approach: The Case With Boundary

Bernard Helffer, Francis Nier, F. Nier, 2006 .

Strong diamagnetism for general domains and application

Bernard Helffer, Soeren Fournais, B. Helffer, 2007 .

Multiple wells in the semi-classical limit I

Bernard Helffer, Johannes Sjöstrand, B. Helffer, 1984 .

Converse Spectral Problems for Nodal Domains

Bernard Helffer, B. Helffer, T. Hoffmann-Ostenhof, 2007 .

Magnetic bottles for the Neumann problem: curvature effects in the case of dimension 3

Bernard Helffer, B. Helffer, Abderemane Morame, 2001 .

NUMERICAL SIMULATIONS FOR NODAL DOMAINS AND SPECTRAL MINIMAL PARTITIONS

Bernard Helffer, Virginie Bonnaillie-Noël, Grégory Vial, 2010 .

REMARKS ON DECAY OF CORRELATIONS AND WITTEN LAPLACIANS BRASCAMP-LIEB INEQUALITIES AND SEMICLASSICAL LIMIT

Bernard Helffer, B. Helffer, 1998 .

The Montgomery model revisited

Bernard Helffer, 2010 .

Sturm's Theorem on the Zeros of Sums of Eigenfunctions: Gelfand's Strategy Implemented

Bernard Helffer, Pierre B'erard, B. Helffer, 2018, 1807.03990.

Spectral Theory and its Applications

Bernard Helffer, B. Helffer, 2013 .

Accurate eigenvalue asymptotics for the magnetic Neumann Laplacian

Bernard Helffer, Soeren Fournais, B. Helffer, 2006 .