University of Birmingham > Talks@bham > Topology and Dynamics seminar > On Poincaré inequalities and counting functions on 1-foliated domains with fractal boundaries (Part I)

On Poincaré inequalities and counting functions on 1-foliated domains with fractal boundaries (Part I)

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Tony Samuel.

The basic necessary notions to understand the variational formulation of eigenvalue problems of a Laplace operator with Neumann boundary conditions are introduced. We summarise some known results (in particular the Weyl-Berry conjecture and related results). A constructive method to obtain estimates for Poincaré constants on certain domains with fractal boundary is developed by introducing specific 1-foliations on the domain. This is used to estimate eigenvalue counting functions for domains with rough boundary and in particular for snowflake-like domains.

This talk is part of the Topology and Dynamics seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

Talks@bham, University of Birmingham. Contact Us | Help and Documentation | Privacy and Publicity.
talks@bham is based on talks.cam from the University of Cambridge.