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- W286380530 abstract "Soient Q 1 , Q 2 deux formes quadratiques et u solution locale de l'equation de Schrodinger en dimension 2 d'espace (i∂ t + Δ)u = Q 1 (u, ⊇ x u) + Q 2 (u, ⊇ x u). Nous prouvons que si Q 1 et Q 2 dependent effectivement des derivees de u, et si la donnee de Cauchy est assez petite et assez decroissante a l'infini, la solution existe globalement en temps. La difficulte du probleme reside dans le fait que la perturbation nonlineaire est a longue portee, en ce sens qu'elle s'ecrit comme un produit (d'une derivee) de u par un potentiel dont la norme L∞ en espace n'est pas integrable lorsque t → +∞." @default.
- W286380530 created "2016-06-24" @default.
- W286380530 creator A5088737382 @default.
- W286380530 date "2002-01-01" @default.
- W286380530 modified "2023-09-27" @default.
- W286380530 title "Global solutions for small nonlinear long range perturbations of two dimensional Schrödinger equations" @default.
- W286380530 doi "https://doi.org/10.24033/msmf.404" @default.
- W286380530 hasPublicationYear "2002" @default.
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