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Differential Equations Seminar

Random tensors and application to nonlinear dispersive equations
Thursday, October 22, 2020
4:00-5:00 PM
Zoom ID: 983 6567 6067 Off Campus Location
We discuss recent progress on random data problems for nonlinear Schrodinger equations. In joint works with Andrea R. Nahmod and Haitian Yue, we develop the theory of random tensors and prove almost-sure local well-posedness in the optimal ("probabilistic subcritical") range of regularity. This can be viewed as the dispersive counterpart of the parabolic theories like the regularity structures theory. We also prove invariance of Gibbs measure for the 2D nonlinear Schrodinger equation with any power nonlinearity, solving a major open problem since Bourgain's famous 1996 paper.

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Meeting ID: 983 6567 6067
Passcode: 2020

Speaker(s): Yu Deng (USC)
Building: Off Campus Location
Location: Virtual
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics