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Random data Cauchy theory for some nonlinear dispersive equations

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Friday, September 28, 2018
12:00 pm - 1:00 pm
Dana Mendelson (University of Chicago)
Applied Math And Analysis Seminar

In this talk, I will discuss several problems on nonlinear wave and dispersive equations with random initial data, including the energy critical nonlinear wave and Schroedinger equations, and derivative nonlinear wave equations. I will present several almost sure well-posedness and scattering results for these equations and contrast the ways in which random data techniques can be exploited in these different contexts.