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

主讲人：刘海蓉 教授（南京理工大学）

摘要：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. This work is in collaboration with Professor Xiaoping Yang and Long Tian.

报告时间：2024年10月29日下午16:00-17:00

报告地点：数学科学学院301室

报告人简介：刘海蓉，南京理工大学数学与统计学院教授、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等数学期刊上。先后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、数学天元专项等国家级项目5项。