Existence de solutions avec petite donnée initiale dans pour une équation de Dirac non linéaire
Existence globale et comportement asymptotique pour l'équation de Klein–Gordon quasi linéaire à données petites en dimension 1
Existence of minimizers for Kohn-Sham models in quantum chemistry
Familles de branches de bifurcations dans les équations de Ginzburg-Landau
Flensted-Jensen's functions attached to the Landau problem on the hyperbolic disc
We give an explicit expression of a two-parameter family of Flensted-Jensen’s functions on a concrete realization of the universal covering group of . We prove that these functions are, up to a phase factor, radial eigenfunctions of the Landau Hamiltonian on the hyperbolic disc with a magnetic field strength proportional to , and corresponding to the eigenvalue .
Formulation variationnelle de systèmes Schrödinger-Poisson en dimension
Fractal Weyl laws for quantum resonances
Front d’onde à l’infini pour l’équation de Schrödinger
Fully discrete Galerkin schemes for the nonlinear and nonlocal Hartree equation.
Gaussian Decay of the Magnetic Eigenfunctions.
General highly accurate algebraic coarsening.
Global existence of large amplitude solutions for nonlinear massless Dirac equation
Global identifiability for an inverse problem for the Schrödinger equation in a magnetic field.
Global maximal estimates for solutions to the Schrödinger equation
Global maximal estimates are considered for solutions to an initial value problem for the Schrödinger equation.
Global well-posedness and scattering for the defocusing -subcritical Hartree equation in
Global well-posedness for the Klein-Gordon-Schrödinger system with higher order coupling
Global well-posedness for the Klein-Gordon-Schrödinger system with generalized higher order coupling, which is a system of PDEs in two variables arising from quantum physics, is proven. It is shown that the system is globally well-posed in under some conditions on the nonlinearity (the coupling term), by using the conservation law for and controlling the growth of via the estimates in the local theory. In particular, this extends the well-posedness results for such a system in Miao, Xu (2007)...
Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case
We establish global existence and scattering for radial solutions to the energy-critical focusing Hartree equation with energy and Ḣ¹ norm less than those of the ground state in , d ≥ 5.
Growth and accretion of mass in an astrophysical model
We study asymptotic behavior of radial solutions of a nonlocal Fokker-Planck equation describing the evolution of self-attracting particles. In particular, we consider stationary solutions in balls and in the whole space, self-similar solutions defined globally in time, blowing up self-similar solutions, and singularities of solutions that blow up in a finite time.
Half-delocalization of eigenfunctions for the Laplacian on an Anosov manifold
We study the high-energy eigenfunctions of the Laplacian on a compact Riemannian manifold with Anosov geodesic flow. The localization of a semiclassical measure associated with a sequence of eigenfunctions is characterized by the Kolmogorov-Sinai entropy of this measure. We show that this entropy is necessarily bounded from below by a constant which, in the case of constant negative curvature, equals half the maximal entropy. In this sense, high-energy eigenfunctions are at least half-delocalized....
Hamiltonians for systems of N particles interacting through point interactions