Department of Mathematics
National and Kapodistrian University of Athens
Panepistimioupolis, GR-157 84
Athens, Greece
email: ngialelis@math.uoa.gr
Nikolaos Gialelis
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 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.
DOI: 10.58997/ejde.2020.66
Show me the PDF file (413 KB), TEX file for this article.
|
Nikolaos Gialelis Department of Mathematics National and Kapodistrian University of Athens Panepistimioupolis, GR-157 84 Athens, Greece email: ngialelis@math.uoa.gr |
|---|
Return to the EJDE web page