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Nonlinear Schrodinger equation with time dependent potential

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arxiv 0910.4893 v2 pith:DPZZMQK7 submitted 2009-10-26 math.AP math-phmath.MP

Rémi Carles (I3M) This is my paper · ORCID
classification math.APmath-phmath.MP
keywords dependentnonlineartimeaspectpotentialschrodingeranalysisappears
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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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