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arXiv · 2311.14980

Energy scattering for the unsteady damped nonlinear Schrodinger equation

Makram Hamouda·Mohamed Majdoub
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Abstract

We investigate the large time behavior of the solutions to the nonlinear focusing Schr\"odinger equation with a time-dependent damping in the energy sub-critical regime. Under non classical assumptions on the unsteady damping term, we prove some scattering results in the energy space.

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Makram Hamouda, Mohamed Majdoub. 2023-11-25. Energy scattering for the unsteady damped nonlinear Schrodinger equation. https://arxiv.org/abs/2311.14980

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