PDE Seminar: Brandolini -- Some recent estimates on linear Neumann eigenvalues and eigenfunctions

 Speaker: Barbara Brandolini from University of Naples 

3pm-4pm, Monday, 17 August 2009, Carslaw 454 

Title: Some recent estimates on linear Neumann eigenvalues and eigenfunctions 

Abstract: We prove a reverse Holder inequality for the first nontrivial eigenfunction of
the Neumann Laplacian.  From this we deduce a lower bound for the first nontrivial
eigenvalue in terms of the isoperimetric constant relative to the domain.  We finally
show that our results are asymptotically sharp at least in dimension two.  

Before the talk, we will take the Speaker to lunch at the restaurant Thai@home on Glebe
Point Road.  We will meet at 1pm on the outdoor Plaza on the 2nd floor of Carslaw.