In this talk, we will discuss recent developments on the propagation of randomness, in the setting of random data problems for nonlinear Schrödinger equations and Hartree equations. In particular, I will present a new framework called the theory of random tensors (which is a natural extension of the method of random averaging operators in our earlier work) that proves almost-sure local well-posedness in the optimal ("probabilistic subcritical") range of regularity. This is work with Yu Deng (USC) and Andrea Nahmod (UMass Amherst).


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https://umich.zoom.us/j/98365676067

Meeting ID: 983 6567 6067
Speaker(s): Haitian Yue (USC)