Talk
Ground state asymptotics for singularly perturbed operators
- Andrey Piatnitski (Narvik Institute of Technology Narvik, Mathematics at HiN, Norway)
Abstract
We will discuss the asymptotic behaviour of the ground state (principal eigenpair) for a singularly perturbed second order elliptic operator defined on a compact manifold, or in a bounded domain with Dirichlet boundary condition.
It will be shown that the limit behaviour of principal eigenvalue and the logarithmic asymptotics of principal eigenfunction can be described in terms of auxiliary variational problems not involving a parameter.
