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