English

Exponential stability for the nonlinear Schr\"odinger equation on a star-shaped network

Analysis of PDEs 2019-07-12 v1

Abstract

In this paper, we prove the exponential stability of the solution of the nonlinear dissipative Schr\"odinger equation on a star-shaped network and where the damping is localized on one branch and at the infinity.

Keywords

Cite

@article{arxiv.1907.04950,
  title  = {Exponential stability for the nonlinear Schr\"odinger equation on a star-shaped network},
  author = {Kaïs Ammari and Ahmed Bchatnia and Naima Mehenaoui},
  journal= {arXiv preprint arXiv:1907.04950},
  year   = {2019}
}
R2 v1 2026-06-23T10:17:58.013Z