AGA

Seminar

Some spectral problems for non-selfadjoint operators

Wood, I (Aberystwyth)
Thursday 21 June 2007, 11:00-12:00

Seminar Room 1, Newton Institute

Abstract

We consider abstract Dirichlet-to-Neumann operators (M-functions) for non-selfadjoint operators in an abstract setting. We prove that isolated eigenvalues of an operator correspond to poles of the associated M-function and show that second order elliptic PDEs in smooth domains satisfying fairly general boundary conditions fit into our framework.