Existence globale et diffusion pour l’équation de Schrödinger non linéaire répulsive cubique sur mathbbR 3 en dessous l’espace d’énergie
Colliander, J. ; Keel, M. ; Staffilani, G. ; Takaoka, H. ; Tao, T.
Journées équations aux dérivées partielles, (2002), p. 1-15 / Harvested from Numdam
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Nous profilons une démonstration de l’existence globale et diffusion pour l’équation de Schrödinger nonlinéaire répulsive cubique avec données à H s (ℝ 3 ) pour s>4 5. Le raisonnement utilise une estimation nouvelle de type de Morawetz. Nous détaillerons la démonstration ailleurs.

We sketch a proof of global existence and scattering for the defocusing cubic nonlinear Schrödinger equation in H s (ℝ 3 ) for s>4 5. The proof uses a new estimate of Morawetz type.

Publié le : 2002-01-01
DOI : https://doi.org/10.5802/jedp.608 
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     author = {Colliander, J. and Keel, M. and Staffilani, G. and Takaoka, H. and Tao, Terence},
     title = {Existence globale et diffusion pour l'\'equation de Schr\"odinger non lin\'eaire r\'epulsive cubique sur $mathbb{R}^3$ en dessous l'espace d'\'energie},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     year = {2002},
     pages = {1-15},
     doi = {10.5802/jedp.608},
     mrnumber = {1968206},
     language = {en},
     url = {http://dml.mathdoc.fr/item/JEDP_2002____A10_0}
}

Colliander, J.; Keel, M.; Staffilani, G.; Takaoka, H.; Tao, T. Existence globale et diffusion pour l’équation de Schrödinger non linéaire répulsive cubique sur $mathbb{R}^3$ en dessous l’espace d’énergie. Journées équations aux dérivées partielles,  (2002), pp. 1-15. doi : 10.5802/jedp.608. http://gdmltest.u-ga.fr/item/JEDP_2002____A10_0/

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