SMS scnews item created by Florica Cirstea at Thu 13 Aug 2009 1954
Type: Seminar
Distribution: World
Expiry: 17 Aug 2009
Calendar1: 17 Aug 2009 1500-1600
CalLoc1: Carslaw 454
Auth: florica@p7192.pc (assumed)

# 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.


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