# What happens to eigenfunctions when you perturb a domain?

## Location

Zoom

Friday, May 1, 2020 2:00 PM

Alex Dunlap (Stanford)

Suppose you want to solve the eigenvalue problem for the Laplacian in a domain that's close to one you understand well. Can you use that knowledge to understand the spectrum for the new domain? I'll describe Hadamard's formula for the derivative of the eigenvalues, and give some applications.