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REMARKS ON THE DAMPED NONLINEAR SCHRODINGER EQUATION
Journal article   Open access  Peer reviewed

REMARKS ON THE DAMPED NONLINEAR SCHRODINGER EQUATION

Tarek Saanouni and Departement of Mathematics, College of Sciences and Arts of Uglat Asugour, Qassim University, Buraydah, Kingdom of Saudi Arabia
Evolution equations and control theory, Vol.9(3), pp.721-732
2020
DOI: https://doi.org/10.3934/eect.2020030

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
It is the purpose of this note to investigate the initial value problem for a focusing semi-linear damped Schrodinger equation. Indeed, in the energy sub-critical regime, one obtains global well-posedness and scattering in the energy space, depending on the order of the fractional dissipation.
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https://doi.org/10.3934/eect.2020030View
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