output
20022011
most citedGlobal well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case

596 citations

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Showing 2010 · math.APShow all

4 papers · 2 filters

math.AP2010★ 5 cited

Existence and a priori bounds for electrostatic Klein-Gordon-Maxwell systems in fully inhomogeneous spaces

Olivier Druet, Emmanuel Hebey

We prove existence and uniform bounds for electrostatic Klein-Gordon-Maxwell systems in the inhomogeneous context of a compact Riemannian manifold when the mass potential, balanced…

math.AP2010

Hypoelliptic Estimates for a Linear Model of the Boltzmann Equation without Angular Cutoff

Nicolas Lerner, Yoshinori Morimoto, Karel Pravda-Starov

In this paper, we establish optimal hypoelliptic estimates for a class of kinetic equations, which are simplified linear models for the spatially inhomogeneous Boltzmann equation w…

math.AP2010★ 3 cited

Stability of the line soliton of the KP-II equation under periodic transverse perturbations

Tetsu Mizumachi, Nikolay Tzvetkov

We prove the nonlinear stability of the KdV solitary waves considered as solutions of the KP-II equation, with respect to periodic transverse perturbations.

math.AP2010★ 3 cited

Anisotropic hypoelliptic estimates for Landau-type operators

Frederic Herau, Karel Pravda-Starov

We establish global hypoelliptic estimates for linear Landau-type operators. Linear Landau-type equations are a class of inhomogeneous kinetic equations with anisotropic diffusion…