Soliton scattering by delta impurities
Justin Holmer, Jeremy Marzuola, Maciej Zworski (2006)
Journées Équations aux dérivées partielles
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Displaying similar documents to “Scattering for the Beam equation”
Soliton scattering by delta impurities
Existence globale et diffusion pour l’équation de Schrödinger non linéaire répulsive cubique sur en dessous l’espace d’énergie
J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao (2002)
Journées équations aux dérivées partielles
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We sketch a proof of global existence and scattering for the defocusing cubic nonlinear Schrödinger equation in for . The proof uses a new estimate of Morawetz type.
Global well-posedness and scattering for the mass-critical NLS
Benjamin Dodson (2011)
Journées Équations aux dérivées partielles
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On stabilization and control for the critical Klein-Gordon equation on a 3-D compact manifold
Camille Laurent (2011)
Journées Équations aux dérivées partielles
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We study the internal stabilization and control of the critical nonlinear Klein-Gordon equation on 3-D compact manifolds. Under a geometric assumption slightly stronger than the classical geometric control condition, we prove exponential decay for some solutions bounded in the energy space but small in a lower norm. The proof combines profile decomposition and microlocal arguments. This profile decomposition, analogous to the one of Bahouri-Gérard [] on , is performed by taking care...
Space-time resonances
Pierre Germain (2010)
Journées Équations aux dérivées partielles
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This article is a short exposition of the space-time resonances method. It was introduced by Masmoudi, Shatah, and the author, in order to understand global existence for nonlinear dispersive equations, set in the whole space, and with small data. The idea is to combine the classical concept of resonances, with the feature of dispersive equations: wave packets propagate at a group velocity which depends on their frequency localization. The analytical method which follows from this idea...