摘要：This is an summary talk for Moser-Trudinger inequality. In this talk, I first introduce the classical Moser-Trudinger inequalities in bounded domain and unbounded domain. Then I will present the work on the existence and no-existence for extremals of Moser-Trudinger inequality. The Trace-type Moser-Trudinger inequality in bounded and unbounded domain will be also discussed in this talk. F...
Abstract：This talk introduces two efficient numerical methods for solving nonlinear filtering (NLF) problems. We propose the utilization of the proper orthogonal decomposition (POD) method and tensor train decomposition method to solve the forward Kolmogorov equation (FKE) associated with NLF problems. Our approach involves offline and online stages. In the offline stage, we discretize the par...
E-mail：qzsy@tsinghua.edu.cn
Address：Qiuzhen College, Tsinghua University, Haidian District, Beijing
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