题目：Nondeterministic well-posedness for the periodic 4D cubic NLS
报告人：岳海天（ University of Massachusetts Amherst）
时间：5月17日（周二） 16:00-17:00
地点：管理楼1518
摘要：
In this talk, we will discuss the well-posedness problem for certain evolution equations using a non-deterministic approach, which was first introduced by Bourgain. We prove an almost sure local well-poesdness result for periodic 4D cubic NLS in the supercritical regime(i.e. with initial data below the energy space). We will show that the large deviation properties of random data help to obtain better L^p and multilinear estimates almost surely, and then we can get the non-deterministic well-posedness result though a contraction method applied in a certain atomic space.
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