Quantitative unique continuation

  • Thu 17 Feb 22

    15:00 - 16:00

  • Online


  • Event speaker

    Zihui Zhao

  • Event type

    Lectures, talks and seminars

  • Event organiser

    Mathematics, Statistics and Actuarial Science, School of

  • Contact details

    Jesus Martinez-Garcia

These Departmental Seminars are for everyone in Maths. We encourage anyone interested in the subject in general, or in the particular subject of the seminar, to come along. It's a great opportunity to meet people in the Maths Department and join in with our community.

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.


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).