Advanced Search
Article Contents
Article Contents

Global existence results for nonlinear Schrödinger equations with quadratic potentials

Abstract Related Papers Cited by
  • We prove that no finite time blow up can occur for nonlinear Schrödinger equations with quadratic potentials, provided that the potential has a sufficiently strong repulsive component. This is not obvious in general, since the energy associated to the linear equation is not positive. The proof relies essentially on two arguments: global in time Strichartz estimates, and a refined analysis of the linear equation, which makes it possible to control the nonlinear effects.
    Mathematics Subject Classification: Primary: 35Q55; Secondary: 35A05, 35B30, 35B35.


    \begin{equation} \\ \end{equation}
  • 加载中

Article Metrics

HTML views() PDF downloads(83) Cited by(0)

Access History

Other Articles By Authors



    DownLoad:  Full-Size Img  PowerPoint