Boundary Unique Continuation and the Estimate of the Singular Set

Explore boundary unique continuation and singular set estimation in elliptic PDEs through this 49-minute lecture by Zihui Zhao from the Hausdorff Center for Mathematics. Delve into the fundamental property of unique continuation for harmonic functions and solutions to various elliptic and parabolic PDEs. Discover how the local growth rate of harmonic functions can be used to deduce global information, particularly in estimating the size of singular sets for elliptic PDEs. Gain insights into joint research conducted with Carlos Kenig, examining the relationship between infinite-order vanishing points and the behavior of harmonic functions across their domains.