University of Birmingham > Talks@bham > Analysis Seminar > Bounds for the rate of change of the Sobolev constant

## Bounds for the rate of change of the Sobolev constantAdd to your list(s) Download to your calendar using vCal - Tom Carroll (University College Cork)
- Monday 22 February 2016, 16:00-17:00
- Lecture room B, Watson building.
If you have a question about this talk, please contact Andrew Morris. The Sobolev constant of a bounded region in Euclidean space decreases as the region expands. Isoperimetric bounds for the rate of decrease of the Sobolev constant are obtained. These apply, in particular, to the first Dirichlet eigenfunction of the Laplacian and to the (inverse of the) torsional rigdity. The main ingredients are a fairly standard Hadamard variation formula and a reverse Holder inequality for the eigenfuntions. This is joint work with Jesse Ratzkin and Moustapha Fall. This talk is part of the Analysis Seminar series. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
## Other listsMedical Imaging Research Seminars Analysis Reading Seminar Chemical Engineering Research Seminar Series## Other talksPrincipal Component Analysis of Quantum Materials Data: a Study in Augmented Intelligence Outerspacial 2-complexes Variational Bayesian inference for point processes - a latent variable approach Roots of random functions Prediction of Toric Code Topological Order from Rydberg Blockade |