1D dirac operators with special periodic potentials
A duality between Schrödinger operators on graphs and certain Jacobi matrices
A formal series solution of the one-dimensional Schrödinger equation
A generalization of Gordon's theorem and applications to quasiperiodic Schrödinger operators.
A KAM-theorem for some nonlinear partial differential equations
A new approach to inverse spectral theory. I: Fundamental formalism.
A new approach to inverse spectral theory. II: General real potentials and the connection to the spectral measure.
A new phase space localization technique with application to the sum of negative eigenvalues of Schrödinger operators
A spectral Galerkin approximation of the Orr-Sommerfeld eigenvalue problem in a semi-finite domain.
A theory on perturbations of the Dirac operator.
About poles of the resolvent, in a model for a harmonic oscillator coupled with massless scalar bosons
Absolute Continuity of Hamiltonians with von Neumann Wigner Potentials II.
Accurate WKB Approximation for a 1D Problem with Low Regularity
2000 Mathematics Subject Classification: 34L40, 65L10, 65Z05, 81Q20.This article is concerned with the analysis of the WKB expansion in a classically forbidden region for a one dimensional boundary value Schrodinger equation with a non smooth potential. The assumed regularity of the potential is the one coming from a non linear problem and seems to be the critical one for which a good exponential decay estimate can be proved for the first remainder term. The treatment of the boundary conditions brings...
Adiabatic theory : stability of systems with increasing gaps
Adjoint and self-adjoint differential operators on graphs.
An Lp Estimate for the Difference of Derivatives of Spectral Expansions Arising by One-dimensional Schroedinger Operators
Analyse semi-classique pour l'équation de Harper (avec application à l'équation de Schrödinger avec champ magnétique)
Analyse semi-classique pour l'équation de Harper. II: Comportement semi-classique près d'un rationnel
Asymmetric bound states of differential equations in nonlinear optics
Asymptotic expansions of canards with poles. Application to the stationary unidimensional Schrödinger equation.