Dirichlet to Neumann maps for spectral problems
Prof Marco Marletta ( Cardiff University )
- 14:00 29th May 2008 ( week 6, Trinity Term 2008 )Lecture Theatre A
Dirichlet to Neumann maps and their generalizations are exceptionally useful tools in the study of eigenvalue problems for ODEs and PDEs. They also have real physical significance through their occurrence in electrical impedance tomography, with applications to medical imagine, landmine detection and non-destructive testing. This talk will review some of the basic properties of Dirichlet to Neumann maps, some new abstract results which make it easier to use them for a wide variety of models, and some analytical/numerical results which depend on them, including detection and elimination of spectral pollution.