Open AccessGalerkin method of weakly damped cubic nonlinear Schrödinger with Dirac impurity, and artificial boundary condition in a half-line
Author(s) -
Abderrazak Chrifi,
Mostafa Abounouh,
Hassan Al Moatassime
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2021030
Subject(s) - uniqueness , mathematics , dirac (video compression format) , nonlinear schrödinger equation , nonlinear system , line (geometry) , mathematical physics , mathematical analysis , schrödinger's cat , schrödinger equation , physics , quantum mechanics , geometry , neutrino
We consider a weakly damped cubic nonlinear Schrödinger equation with Dirac interaction defect in a half line of \begin{document}$ \mathbb{R} $\end{document} . Endowed with artificial boundary condition at the point \begin{document}$ x = 0 $\end{document} , we discuss the global existence and uniqueness of solution of this equation by using Faedo–Galerkin method.