Quantitative unique continuation

Quantitative unique continuation

Unique continuation theorem is a fundamental property of harmonic functions, as well as solutions to a large class of elliptic and parabolic PDEs. It says that if a harmonic function vanishes to infinite order at a point, the function must vanish everywhere.

In the same spirit, there is a large class of quantitative unique continuation theorems, which use the local information about the growth rate of a harmonic function to deduce global information.

In particular, Zihui Zhao will talk about how to estimate the size of the singular set $\{u=0=|\nabla u|\}$ of a harmonic function u. This is joint work with Carlos Kenig.

Speaker

Zihui Zhao, University of Chicago

How to attend

If not a member of the Dept. Mathematical Science at the University of Essex, you can register your interest in attending the seminar and request the Zoom’s meeting password by emailing Dr Jesus Martinez-Garcia (jesus.martinez-garcia@essex.ac.uk).