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Wave propagation in networks of thin fibres: small diameter asymptotics

Tuesday 5th June 2007 - 14:30 to 15:30
INI Seminar Room 1

We consider the Laplace equation in systems of wave guides with arbitrary boundary conditions, when the diameter of the wave guides is vanishing. The asymptotic behavior of scattering solutions and the resolvent on the bulk of the spectrum and near the treshold will be discussed, as well as asymptotic behavior of the solutions of some non-stationary problems. This is a joint work with S. Molchanov (UNCC)

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