报告题目：Quantitative unique continuation property for solutions to a bi-Laplacian equation with a potential

报告人：刘海蓉（南京理工大学）

报告时间：2023年12月8日15:00-16:00

报告地点：数统学院323（腾讯会议932 495 5583）

邀请单位：bat365在线登录入口

报告内容简介：

In this talk, we will show the quantitative unique continuation property of solutions to a bi-Laplacian equation with a potential.Our key argument is to lift the original equation to that with a positive potential, then decompose the resulted fourth-order equation into a special system of two second-order equations. Based on the special system, we define a variant frequency function with weights and derive its almost monotonicity to establishing some doubling inequalities with explicit dependence on the Sobolev norm of the potential function.

报告人简介：

刘海蓉，南京理工大学bat365在线登录入口教授、博士生导师。主要从事几何和物理中偏微分方程理论及其应用研究，在椭圆方程解的定量性质，次黎曼流形上向量场方程解的性态等方面取得多项研究成果,相关工作发表在JFA, JDE, Nonlinearity，SCM等数学杂志上。主持国家自然科学基金青年基金、国家自然科学基金面上项目、国家自然科学基金天元专项等项目。