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Some spectral problems for non-selfadjoint operators

Presented by: 
I Wood [Aberystwyth]
Thursday 21st June 2007 - 11:00 to 12:00
INI Seminar Room 1

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.

Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons