Almost Sure Scattering for the One Dimensional Nonlinear Schrodinger Equation

AMERICAN MATHEMATICAL SOCIETYISBN: 9781470469795

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By Nicolas Burq, Laurent Thomann
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AMERICAN MATHEMATICAL SOCIETY
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PAPERBACK
Pages:
87

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Description

Nicolas Burq, Universite Paris-Saclay, Orsay, France, and Institut Universitaire de France, France, and Laurent Thomann, Universite de Lorraine, Nancy, France.

1. Introduction and results 2. The measures and linear analysis 3. Measures and functional analysis 4. Evolution of the Gaussian measure 5. Nonlinear estimates 6. Functional spaces $Y^{\rho , \epsilon }$ and $X^\rho _{t_0, \tau }$ 7. Large deviation bounds 8. The local Cauchy theory 9. Global existence for $p> 1$ 10. Quasi-invariance of the measures 11. Decay estimates and scattering A. Some technical results

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