主讲人简介：李从明，上海交通大学数学科学学院院长、讲席教授，主要研究非线性偏微分方程、变分法、微分几何、非线性分析、流体动力学。李从明博士毕业于纽约大学柯朗数学科学研究所，师从国际数学界分析学大师Louis Nirenberg，在几何分析、流体力学、非线性偏微分和积分方程与方程组及其相关应用领域做出了一流的工作。突破古典的研究模式，改进和发展了古典的数学方法，其研究成果具有很强的原创性和独特性。已发表SCI论文50余篇，包括国际顶尖期刊Proceedings ofthe National Academy of Sciences, Annals of Mathematics, InventionesMathematicae, Communications on Pure and Applied Mathematics, Journal ofDifferential Geometry, Advances in Mathematics等。被SCI引用累计2700余次，发表著作1部。
内容摘要：We study singular solutions of linear problems with fractional Laplacian. First, we establish B\^{o}cher type theorems on a punctured ball viadistributional approach.Then, wedevelop a few interesting maximum principles on a punctured ball. Our distributional approach only requires the basic $L_{{\rmloc}}^1$-integrability. Furthermore, several basic lemmas are introduced tounify the treatments of Laplacian and fractional Laplacian. This is a jointwork with C. Liu, Z. Wu and H. Xu.
报告主持：秦玉明 教授
