Nonlinear Schrodinger equation with time dependent potentialReport as inadecuate

Nonlinear Schrodinger equation with time dependent potential - Download this document for free, or read online. Document in PDF available to download.

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 -



Related documents