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1 I3M - Institut de Mathématiques et de Modélisation de Montpellier

Abstract : 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.





Author: Rémi Carles -

Source: https://hal.archives-ouvertes.fr/



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