Exact boundary controllability for higher order nonlinear Schrödinger equations with constant coefficients.
Displaying 81 – 100 of 364
Exact solutions and symmetry operators for the nonlocal Gross-Pitaevskii equation with quadratic potential.
Shapovalov, Alexander, Trifonov, Andrey, Lisok, Alexander (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Existence and regularity of the solution of a time dependent Hartree-Fock equation coupled with a classical nuclear dynamics.
Lucie Baudouin (2005)
Revista Matemática Complutense
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.
Zaouch, Fouzi (2005)
Abstract and Applied Analysis
Existence, multiplicity and profile of sign-changing clustered solutions of a semiclassical nonlinear Schrödinger equation
Teresa D'Aprile, Angela Pistoia (2009)
Annales de l'I.H.P. Analyse non linéaire
Existence of weak solutions for quasilinear elliptic equations involving the -Laplacian.
Severo, Uberlandio (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Explosion en temps fini pour l’équation de Schrödinger non linéaire stochastique surcritique
Anne de Bouard, Arnaud Debussche (2002/2003)
Séminaire Équations aux dérivées partielles
Explosion pour l’équation de Schrödinger au régime du “log log”
Nicolas Burq (2005/2006)
Séminaire Bourbaki
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
J. Nourrigat (2005)
Journées Équations aux dérivées partielles
Exponential Sums and Nonlinear Schrödinger Equations.
J. Bourgain (1993)
Geometric and functional analysis
Finite difference discretization with variable mesh of the Schrodinger equation in a variable domain
Georgios D. Akrivis, Vassilios A. Dougalis (1990)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Finite-energy sign-changing solutions with dihedral symmetry for the stationary nonlinear Schrödinger equation
Monica Musso, Frank Pacard, Juncheng Wei (2012)
Journal of the European Mathematical Society
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
D. Bättig, B. Grébert, J. C. Guillot, T. Kappeler (1993)
Compositio Mathematica
Fonctionnelles de Ginzburg-Landau et espaces de configurations de particules positives et négatives
L. Almeida, F. Bethuel (1995/1996)
Séminaire Équations aux dérivées partielles (Polytechnique)
Formulation variationnelle de systèmes Schrödinger-Poisson en dimension
Francis Nier (1992)
Journées équations aux dérivées partielles
Fourier Transform Restriction Phenomena for Certain Lattice Subsets and Applications to Nonlinear Evolution Equations, Part II: The KDV Equation.
J. Bourgain (1993)
Geometric and functional analysis
Fourier Transform Restriction Phenomena for Certain Lattice Subsets and Applications to Nonlinear Evolution Equations, Part I: Schrödinger Equations.
J. Bourgain (1993)
Geometric and functional analysis
Fourth order time-stepping for low dispersion Korteweg-de Vries and nonlinear Schrödinger equations.
Klein, Christian (2007)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Fractal analysis of Hopf bifurcation for a class of completely integrable nonlinear Schrödinger Cauchy problems.
Milišic, Josipa Pina, Žubrinić, Darko, Županović, Vesna (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Generalized Hasimoto transform of one-dimensional dispersive flows into compact Riemann surfaces.
Onodera, Eiji (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]