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Scattering for 𝐻̇^{1/2} bounded solutions to the cubic, defocusing NLS in 3 dimensions

  • Kenig C
  • Merle F
Transactions of the American Mathematical Society (2009) 362(4) 1937-1962
DOI: 10.1090/s0002-9947-09-04722-9
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Abstract

We show that if a solution of the defocusing cubic NLS in 3d remains bounded in the homogeneous Sobolev norm of order 1 / 2 1/2 in its maximal interval of existence, then the interval is infinite and the solution scatters. No radial assumption is made.

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APA

Kenig, C., & Merle, F. (2009). Scattering for 𝐻̇^{1/2} bounded solutions to the cubic, defocusing NLS in 3 dimensions. Transactions of the American Mathematical Society, 362(4), 1937–1962. https://doi.org/10.1090/s0002-9947-09-04722-9

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