The 40th Anniversary of Shenzhen University and the 40th Anniversary of Mathematics Department

Liyuan scholar Colloquium thirty-eight

Lecture Title:Quantitative Property of Solutions to Some Elliptic Equations

Speaker: Prof. Xiaoping Yang (Nanjing University)

Lecture time: 15:30-16:30, September 7, 2023

Lecture location: Classroom 3, 1st floor, Huixing Building,YuehaiCampus, Shenzhen University

Overview：In this talk, we will discuss several quantitative properties of solutions to some elliptic equations, that include quantitative unique continuation, quantitative propagation of smallness and measure upper bounds of nodal sets, by introducing the frequency functions and doubling index, establishing some elliptic estimates, monotonicity properties and three ball theorems.

Speaker Introduction: Xiaoping Yang, Distinguished Professor of Nanjing University, has long been engaged in the research of partial differential equations, geometric measure theory and image processing, and has presided over the key project and major project topics of the National Natural Science Foundation of China, and the national key research and development program projects of the Ministry of Science and Technology. Together with his collaborators, he was awarded the National Book Award Nomination Prize, the First Prize of National Outstanding Science and Technology Book, and the Second Prize of National Scientific and Technological Progress. He is a National Outstanding Teacher, a National Teaching Master and a recipient of the National May 1st Labor Medal.

Teachers and students are welcome to participate!

Schoolof Mathematical Sciences

September7,2023