标题：图上的滲流方程
报告人：马力（北京科技大学）
时间：2024年12月9日，10:00-11:00
地点：36-507
摘要：The nonlinear evolutions on locally finite graphs are interesting topics from both pure and applied mathematics. In this talk, we consider two typical problems on a locally finite connected graph. The first one is to study the Bochner formula for the Laplacian operator on a locally finite connected graph. The other one is to obtain global nontrivial nonnegative solution to porous-media equation via the use of Aronson-Benilan argument. We also give a porous-media equation criterion about stochastic completeness of the graph. We want to say that there is not much work in the direction of the study of nonlinear heat equations on locally finite connected graphs.
报告人介绍：马力，北京科技大学教授、博士生导师。1989年博士毕业于中国科学院数学所，师从王光寅研究员和丁伟岳院士；1991年北京大学数学系博士后出站，合作导师张恭庆院士。马力教授主要从事几何分析和非线性分析、偏微分方程的研究。近期在黎曼几何的重要问题比如Yamabe流、Ricci流等方面取得了一系列重要的研究成果。在Adv. Math., J. Math. Pures Appl., Arch. Ration. Mech. Anal., J. Funct. Anal., Comm. Math. Phy., CVPDE, JDE等著名学术期刊上发表多篇论文。长期担任了两个国际数学SCI杂志(AGAG, JPDOA)编委。
