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Pré-Publication, Document De Travail Année : 2009

Nonlinear Schrodinger equation with time dependent potential

Résumé

We prove a global well-posedness result for defocusing nonlinear Schrodinger equations with time dependent potential. We then focus on time dependent harmonic potentials. This aspect is motivated by Physics (Bose--Einstein condensation), and appears also as a preparation for the analysis of the propagation of wave packets in a nonlinear context. The main aspect considered here is the growth of high Sobolev norms of the solution.
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Dates et versions

hal-00426530 , version 1 (26-10-2009)
hal-00426530 , version 2 (07-07-2010)

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Rémi Carles. Nonlinear Schrodinger equation with time dependent potential. 2009. ⟨hal-00426530v1⟩
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