English

On boundary controllability for the higher order nonlinear Schr\"odinger equation

Analysis of PDEs 2023-12-07 v1

Abstract

A control problem with terminal overdetermination is considered for the higher order nonlinear Schr\"odinger equation on a bounded interval. The boundary condition on the space derivative is chosen as the control. Results on global existence of solutions under small input date are established.

Keywords

Cite

@article{arxiv.2312.03499,
  title  = {On boundary controllability for the higher order nonlinear Schr\"odinger equation},
  author = {Andrei V. Faminskii},
  journal= {arXiv preprint arXiv:2312.03499},
  year   = {2023}
}
R2 v1 2026-06-28T13:42:49.590Z