Absolutely convergent expansions associated with a boundary-value problem with the eigenvalue parameter contained in one boundary condition
Accurate computation of higher Sturm-Liouville eigenvalues.
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.
Adomian decomposition method for nonlinear Sturm-Liouville problems.
Almost global solutions for non hamiltonian semi-linear Klein-Gordon equations on compact revolution hypersurfaces
This paper is devoted to the proof of almost global existence results for Klein-Gordon equations on compact revolution hypersurfaces with non-Hamiltonian nonlinearities, when the data are smooth, small and radial. The method combines normal forms with the fact that the eigenvalues associated to radial eigenfunctions of the Laplacian on such manifolds are simple and satisfy convenient asymptotic expansions.
Ambrosetti-Prodi type results in a system of second and fourth-order ordinary differential equations.
An a posteriori Error Estimation of the Rayleigh-Ritz Eigenvalues.
An abstract approach to some spectral problems of direct sum differential operators.
An example of a Schroedinger equation with almost periodic potential and nowhere dense spectrum.
An extension of a result by Dinaburg and Sinai on quasi-periodic potentials.
An indefinite eigenvalue problem with eigenparameter in the two boundary conditions.
An inverse problem for Sturm-Liouville operators on the half-line having Bessel-type singularity in an interior point
We study the inverse problem of recovering Sturm-Liouville operators on the half-line with a Bessel-type singularity inside the interval from the given Weyl function. The corresponding uniqueness theorem is proved, a constructive procedure for the solution of the inverse problem is provided, also necessary and sufficient conditions for the solvability of the inverse problem are obtained.
An Lp Estimate for the Difference of Derivatives of Spectral Expansions Arising by One-dimensional Schroedinger Operators
An upper estimation for the eigenfrequencies of vibrating Liapunoff bodies (first boundary value problem).
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
Analysis and comparison of several components mode synthesis methods on one-dimensional domains.
Analysis of a nontrivial, explicitly solvable multichannel scattering system