• Corpus ID: 238856986

Scattering for the defocusing, cubic nonlinear Schr{\"o}dinger equation with initial data in a critical space

@inproceedings{Dodson2021ScatteringFT,
  title={Scattering for the defocusing, cubic nonlinear Schr\{\"o\}dinger equation with initial data in a critical space},
  author={Benjamin Dodson},
  year={2021}
}
In this note we prove scattering for a defocusing nonlinear Schrödinger equation with initial data lying in a critical Besov space. In addition, we obtain polynomial bounds on the scattering size as a function of the critical Besov norm. 

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  • Jason Murphy
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We consider a class of power-type nonlinear Schrodinger equations for which the power of the nonlinearity lies between the mass- and energy-critical exponents. Following the concentration-compactne...
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