Special Analysis Seminar: Local bound on the number of nodal domains

Seminar | October 28 | 3:10-4 p.m. | 959 Evans Hall

 Aleksandr Logunov, Princeton University

 Department of Mathematics

Courant's theorem states that the $k$-th eigenfunction of the Laplace operator on a closed Riemannian manifold has at most $k$ nodal domains. Given a ball of radius $r$, we will discuss how many nodal domains can intersect this ball (depending on $r$ and $k$). Based on a joint work (in progress) with S. Chanillo and E. Malinnikova.