SMS scnews item created by Daniel Daners at Tue 4 May 2010 1544
Type: Seminar
Distribution: World
Expiry: 10 May 2010
Calendar1: 10 May 2010 1500-1600
CalLoc1: Carslaw 273

PDE Seminar

The asymptotic behaviour of the eigenvalues of a Robin problem


James Kennedy
University of Sydney
10 May 2010, 3-4pm, Carslaw Room 273


We consider the eigenvalues of the Laplacian with Robin-type boundary conditions {∂u\over ∂ν} = αu. Here we assume α > 0, in contrast to the usual case where α < 0. In recent years, increasing attention has been devoted to the behaviour of the smallest eigenvalue {λ}_{1} as the parameter α →∞ under various assumptions on the underlying domain. After surveying existing results in this area, we will prove using a test function argument that every eigenvalue {λ}_{n} has the same asymptotic behaviour, {λ}_{n} ~-{α}^{2}, assuming only that Ω is of class {C}^{1}. This is joint work with Daniel Daners.

Check also the PDE Seminar page. Enquiries to Florica CÓrstea or Daniel Daners.

ball Calendar (ICS file) download, for import into your favourite calendar application
ball UNCLUTTER for printing
ball AUTHENTICATE to mark the scnews item as read
School members may try to .