On the $L^{2}$-critical nonlinear Schrodinger equation with an inhomogeneous damping term

Mohamad Darwich

On the $L^{2}$-critical nonlinear Schrodinger equation with an inhomogeneous damping term

Analysis of PDEs 2017-03-28 v1

Authors: Mohamad Darwich

Abstract

We consider the $L^2$ -critical nonlinear Schrodinger equation with an inhomogeneous damping term. We prove that there exists an initial data such that the corresponding solution is global in $H^1(R^d)$ and we give the minimal time of the blow up for some initial data.

Keywords

nonlinear Schrodinger equation L^2-critical inhomogeneous damping global solution blow-up initial data

Cite

@article{arxiv.1703.09101,
  title  = {On the $L^{2}$-critical nonlinear Schrodinger equation with an inhomogeneous damping term},
  author = {Mohamad Darwich},
  journal= {arXiv preprint arXiv:1703.09101},
  year   = {2017}
}

Comments

We give in this note some results on the inhomogeneous nonlinear schrodinger equation

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