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

## On PoincarĂ© inequalities and counting functions on 1-foliated domains with fractal boundaries (Part I)Add to your list(s) Download to your calendar using vCal - Lucas Schmidt (University of Birmingham)
- Thursday 27 October 2022, 14:00-15:00
- ARTS-237.
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 PoincarĂ© 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. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
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