含Dirac杂质的弱阻尼三次非线性Schrödinger的Galerkin方法，以及半线上的人工边界条件

Discrete & Continuous Dynamical Systems - S Pub Date : 2021-01-01 DOI:10.3934/DCDSS.2021030

A. Chrifi, M. Abounouh, H. A. Moatassime

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引用次数: 2

摘要

We consider a weakly damped cubic nonlinear Schrodinger 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.

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Galerkin method of weakly damped cubic nonlinear Schrödinger with Dirac impurity, and artificial boundary condition in a half-line

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Discrete & Continuous Dynamical Systems - S

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