Spikes in two coupled nonlinear Schrödinger equations
Tai-Chia Lin, Juncheng Wei (2005)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “Error estimates for scalar conservation laws by a kinetic approach.”
Spikes in two coupled nonlinear Schrödinger equations
WKB analysis for the Gross-Pitaevskii equation with non-trivial boundary conditions at infinity
Thomas Alazard, Rémi Carles (2009)
Annales de l'I.H.P. Analyse non linéaire
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Towards a two-scale calculus
Augusto Visintin (2006)
ESAIM: Control, Optimisation and Calculus of Variations
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We define and characterize weak and strong in , and other spaces a transformation of variable, extending Nguetseng's definition. We derive several properties, including weak and strong two-scale compactness; in particular we prove two-scale versions of theorems of Ascoli-Arzelà, Chacon, Riesz, and Vitali. We then approximate two-scale derivatives, and define two-scale convergence in spaces of either weakly or strongly differentiable functions. We also derive two-scale...