Electronic Journal of Differential Equations, 
Vol. 2020 (2020), No. 66, pp. 1-18.

Title: Inviscid limit of linearly damped and forced nonlinear Schrodinger equations 
       
Author: Nikolaos Gialelis (National and Kapodistrian Univ. of Athens, Greece)

Abstract:
 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 R<sup>n</sup> 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.