Analysis Seminar

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Almost Sure Well-Posedness for the Periodic 3D Quintic NLS Below the Energy Space

Speaker: Andrea Nahmod, University of Massachusetts, Amherst

Location: Warren Weaver Hall 517

Date: Thursday, February 20, 2014, 2:30 p.m.

Synopsis:

In this talk we first review recent progress in the study of certain evolution equations from a non-deterministic point of view (e.g. the random data Cauchy problem) which stems from incorporating to the deterministic toolbox, powerful but still classical tools from probability as well. We will explain some of these ideas and describe in more detail recent work, joint with Gigliola Staffilani on the almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation in the supercritical regime; that is, below the critical space \(H^1(\mathbb T^3)\).