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arXiv · 1905.08159

On the management fourth-order Schr\"{o}dinger-Hartree equation

Carlos Banquet·Élder J. Villamizar-Roa
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Abstract

We consider the Cauchy problem associated to the fourth-order nonlinear Schr\"{o}dinger-Hartree equation with variable dispersion coefficients. The variable dispersion coefficients are assumed to be continuous or periodic and piecewise constant in time functions. We prove local and global well-posedness results for initial data in $H^s$-spaces. We also analyze the scaling limit of fast dispersion management and the convergence to a model with averaged dispersions.

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Carlos Banquet, Élder J. Villamizar-Roa. 2019-05-20. On the management fourth-order Schr\"{o}dinger-Hartree equation. https://arxiv.org/abs/1905.08159

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