报告主题：The gradient estimates of parabolic equations on Riemannian manifolds

时间：2024年6月14日13:00-13:45

地点：腾讯会议会议号：517 4242 8784 密码：6666

报告人：王建红

报告内容简介：

The gradient estimates play a key role in geometry and analysis which is originated from S.T. Yau. The gradient estimate of parabolic equations is to study the properties of solutions to parabolic equations. These parabolic equations have their physical background. The Gradient estimate can be divided into parabolic (Li-Yau) and elliptical (Hamilton) type. In general, we study the gradient estimates on fixed or evolving manifolds when the curvature is pointwise or integral bounded. As applications, we can analyze the existence and uniqueness of the solution to some equations. Meanwhile, we can also use gradient estimate to obtain comparison theorems and estimate the eigenvalues of operators, and so on.

主讲人简介：

王建红，上海立信会计金融学院副教授，博士，研究方向几何分析、PDE。在《Proceedings of the American mathematics》、《Pacific Journal of Mathematics》和数学学报等期刊发表论文多篇，主持校级科研项目，参与国家自然科学基金面上项目2项。