Global well-posedness for a $L^2$-critical nonlinear higher-order Schrödinger equation

@article{Dinh2017GlobalWF,
  title={Global well-posedness for a \$L^2\$-critical nonlinear higher-order Schr{\"o}dinger equation},
  author={Van Duong Dinh},
  journal={Journal of Mathematical Analysis and Applications},
  year={2017},
  volume={458},
  pages={174-192}
}
  • Van Duong Dinh
  • Published 2 March 2017
  • Mathematics
  • Journal of Mathematical Analysis and Applications
1 Citations

Global existence for the defocusing mass-critical nonlinear fourth-order Schrödinger equation below the energy space

In this paper, we consider the defocusing mass-critical nonlinear fourth-order Schrodinger equation. Using the $I$-method combined with the interaction Morawetz estimate, we prove that the problem is

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  • Mathematics
    Bulletin of the Belgian Mathematical Society - Simon Stevin
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