Inhomogeneous Mixed-boundary value problem for one dimensional nonlinear Schr\"{o}dinger equations via factorization techniques
Analysis of PDEs
2019-10-31 v1
Abstract
We consider the inhomogeneous Mixed-boundary value problem for the cubic nonlinear Schr\"{o}dinger equations on the half line. We present sufficient conditions of initial and boundary data which ensure asymptotic behavior of small solutions to equations by using the classical energy method and factorization techniques
Cite
@article{arxiv.1903.12430,
title = {Inhomogeneous Mixed-boundary value problem for one dimensional nonlinear Schr\"{o}dinger equations via factorization techniques},
author = {Liliana Esquivel and Elena Kaikina and Nakao Hayashi},
journal= {arXiv preprint arXiv:1903.12430},
year = {2019}
}