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arXiv · 0910.4893

Nonlinear Schrodinger equation with time dependent potential

Rémi Carles
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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.

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Rémi Carles. 2009-10-26. Nonlinear Schrodinger equation with time dependent potential. https://arxiv.org/abs/0910.4893

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