“数理讲堂”2023年第15期
发布日期:2023-05-24 16:47:45 发布人:人员机构
主题：A generalization of Michael-Simon-Sobolev inequality and higher eigenvalues estimate 时间：2023年5月24号 10:00-11:30 地点🚺：腾讯会议：375-202-671 主持人：种田 副教授 报告人简介： 林和子，福建师范大学数学与统计杏悦副教授🚇。主要研究方向为：子流形几何🏋🏻♀️，几何分析👿，等周不等式等。在J. Geom. Anal., Quart. J. Math.,Tohoku Math. J.等国内外数学杂志发表SCI论文22篇。 讲座简介： In this talk, we first show a Michael-Simon Sobolev inequality in a more general ambient space which supports a special distance type function. Based on this Michael-Simon Sobolev inequality, we obtain some estimates on the higher eigenvalues of submanifolds in terms of the volume of submanifolds. Finally, we give some upper bounds of the number of eigenvalues for Schrodinger operator on submanifolds. This is a joint work with Yuxin Dong and Lingen Lu.
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