We approximate a solution of the nonlinear Schrodinger Cauchy problem by solutions of the linearly damped and driven nonlinear Schrodinger Cauchy problems in any open subset of Rn and, for the case n=1, we provide an estimate of the convergence rate. In doing so, we extract a sufficient relation between the external force and the constant of damping.
Submitted November 12, 2018. Published June 29, 2020.
Math Subject Classifications: 35Q55, 35B20, 35A01.
Key Words: Nonlinear Schrodinger equation; inviscid limit; linear damping; forcing term.
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| Nikolaos Gialelis |
Department of Mathematics
National and Kapodistrian University of Athens
Panepistimioupolis, GR-157 84
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