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arXiv · 1602.05607

Global well-posedness and instability of an inhomogeneous nonlinear Schrodinger equation with harmonic potential

T. Saanouni
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Abstract

This paper is concerned with the Cauchy problem for an inhomogeneous nonlinear Schrodinger equation with exponential growth nonlinearity and harmonic potential in two space dimensions. We prove global well-posedness, existence of the associated ground state and instability of the standing wave.

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T. Saanouni. 2016-02-17. Global well-posedness and instability of an inhomogeneous nonlinear Schrodinger equation with harmonic potential. https://arxiv.org/abs/1602.05607

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