Exact boundary controllability for higher order nonlinear Schrödinger equations with constant coefficients.
Exact solutions and symmetry operators for the nonlocal Gross-Pitaevskii equation with quadratic potential.
Existence and regularity of the solution of a time dependent Hartree-Fock equation coupled with a classical nuclear dynamics.
We study an Helium atom (composed of one nucleus and two electrons) submitted to a general time dependent electric field, modeled by the Hartree-Fock equation, whose solution is the wave function of the electrons, coupled with the classical Newtonian dynamics, for the position of the nucleus. We prove a result of existence and regularity for the Cauchy problem, where the main ingredients are a preliminary study of the regularity in a nonlinear Schrödinger equation with semi-group techniques and...
Existence and uniform boundedness of strong solutions of the time-dependent Ginzburg-Landau equations of superconductivity.
Existence, multiplicity and profile of sign-changing clustered solutions of a semiclassical nonlinear Schrödinger equation
Existence of weak solutions for quasilinear elliptic equations involving the -Laplacian.
Explosion en temps fini pour l’équation de Schrödinger non linéaire stochastique surcritique
Explosion pour l’équation de Schrödinger au régime du “log log”
On présente dans cet exposé des résultats récents de Merle et Raphael sur l’analyse des solutions explosives de l’équation de Schrödinger critique. On s’intéresse en particulier à leur preuve du fait que les solutions d’énergie négative (dont on savait qu’elles explosaient par l’argument du viriel) et dont la norme est proche de celle de l’état fondamental, explosent au régime du “log log”et que ce comportement est stable.
Exponential of a hamiltonian in large subsets of a lattice and applications
Exponential Sums and Nonlinear Schrödinger Equations.
Finite difference discretization with variable mesh of the Schrodinger equation in a variable domain
Finite-energy sign-changing solutions with dihedral symmetry for the stationary nonlinear Schrödinger equation
We address the problem of the existence of finite energy solitary waves for nonlinear Klein-Gordon or Schrödinger type equations in , , where . Under natural conditions on the nonlinearity , we prove the existence of in any dimension . Our result complements earlier works of Bartsch and Willem and Lorca-Ubilla where solutions invariant under the action of are constructed. In contrast, the solutions we construct are invariant under the action of where denotes the dihedral group...
Foliation of phase space for the cubic non-linear Schrödinger equation
Fonctionnelles de Ginzburg-Landau et espaces de configurations de particules positives et négatives
Formulation variationnelle de systèmes Schrödinger-Poisson en dimension
Fourier Transform Restriction Phenomena for Certain Lattice Subsets and Applications to Nonlinear Evolution Equations, Part II: The KDV Equation.
Fourier Transform Restriction Phenomena for Certain Lattice Subsets and Applications to Nonlinear Evolution Equations, Part I: Schrödinger Equations.
Fourth order time-stepping for low dispersion Korteweg-de Vries and nonlinear Schrödinger equations.
Fractal analysis of Hopf bifurcation for a class of completely integrable nonlinear Schrödinger Cauchy problems.
Generalized Hasimoto transform of one-dimensional dispersive flows into compact Riemann surfaces.