威尼斯人

报告题目：Analysis of singular solutions to equations with fractional Laplacian

报告摘要：We give a brief introduction on nonlinear equations with fractional Laplacian and present some recent work on the study of nonnegative solutions to nonlinear equations with fractional Laplacian. The main objects are some forms of maximum principles. We also present some Bocher type theorems. These Bocher type theorems are used to derive maximum principles on a punctured ball.

报告人简介：李从明，上海交通大学讲席教授，院长。1982年本科毕业于中国科学技术大学，1984年硕士毕业于中国科学院，1989年博士毕业于美国纽约大学Courant研究所。报告人的研究领域涵盖非线性偏微分方程，变分法，几何分析以及流体动力学，成果丰硕，曾多次在Annuals of Math., Invention, CPAM等国际顶尖杂志上发表论文。