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A new proof of scattering below the ground state for the 3d radial focusing cubic NLS

  • Dodson B
  • Murphy J
Proceedings of the American Mathematical Society (2017) 145(11) 4859-4867
DOI: 10.1090/proc/13678
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Abstract

We revisit the scattering result of Holmer and Roudenko (2008) on the radial focusing cubic NLS in three space dimensions. Using the radial Sobolev embedding and a virial/Morawetz estimate, we give a simple proof of scattering below the ground state that avoids the use of concentration compactness.

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CITATION STYLE

APA

Dodson, B., & Murphy, J. (2017). A new proof of scattering below the ground state for the 3d radial focusing cubic NLS. Proceedings of the American Mathematical Society, 145(11), 4859–4867. https://doi.org/10.1090/proc/13678

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