中科院数学与系统科学研究院

数学研究所

学术报告

偏微分方程研讨班

报告人岳海天(上海科大)

 Probabilistic well-posedness for nonlinear Schrödinger equation I

  2022.08.09(星期二)9:30-10:30

 点:N208

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 Probabilistic well-posedness for nonlinear Schrödinger equation II

  2022.08.09(星期二)10:30-11:30

 点:N208

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 Probabilistic well-posedness for nonlinear Schrödinger equation III

  2022.08.11(星期四)9:30-10:30

 点:N208

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 Probabilistic well-posedness for nonlinear Schrödinger equation IV

  2022.08.11(星期四)10:30-11:30

 点:N208

 

 要:In this mini-course, we will introduce the probabilistic well-posedness theory in the background of the nonlinear Schrödinger equation and in particular will focus on local (in time) dynamics with the random initial data. The following topics will be covered: 1) the basic settings of random data Cauchy theory; 2) Bourgain's re-centering method; 3) the random averaging operator method and the random tensor theory.

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