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Wave propagation in networks of thin fibres: small diameter asymptotics

Vainberg, B (North Carolina, Charlotte)
Tuesday 05 June 2007, 14:30-15:30

Seminar Room 1, Newton Institute


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)


[pdf ]



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