Existence of global attractor for one-dimensional weakly damped nonlinear Schrödinger equation with Dirac interaction and artificial boundary condition in half-line

DOI10.1186/s13662-017-1194-2zbMath1444.35134OpenAlexW2613447864WikidataQ59517337 ScholiaQ59517337MaRDI QIDQ1726185

Hassan Al Moatassime, Abderrazak Chrifi, Mostafa Abounouh

Publication date: 19 February 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1194-2

zbMATH Keywords

global attractorartificial boundary conditiondamped nonlinear Schrödinger equationautonomous dynamical systemDirac interaction defect

Mathematics Subject Classification ID

Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (2)

Artificial boundary condition for one-dimensional nonlinear Schrödinger problem with Dirac interaction: existence and uniqueness results ⋮ Galerkin method of weakly damped cubic nonlinear Schrödinger with Dirac impurity, and artificial boundary condition in a half-line

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