Rough blowup solutions to the L2 critical NLS

@article{Colliander2009RoughBS,
  title={Rough blowup solutions to the L2 critical NLS},
  author={James E. Colliander and Pierre Rapha{\"e}l},
  journal={Mathematische Annalen},
  year={2009},
  volume={345},
  pages={307-366}
}
We study the singularity formation for the cubic focusing L2-critical nonlinear Schrödinger equation on $${\mathbb{R}^{2}}$$ . In a series of recent works, Merle and Raphaël have completely described the so called log–log blowup regime and proven its stability in the energy space H1. Our aim in this paper is to investigate the stability of this blowup regime under rough perturbations in the direction of developing a theory at the level of the critical space L2. By blending the Merle, Raphaël… CONTINUE READING

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