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Seminario Dottorato: Harmonic functions in a domain with a small hole

Wednesday 16 May 2012 - Paolo Musolino

ARGOMENTI: Seminari Dottorato

SEMINARIO DOTTORATO
Wednesday 16 May 2012 h. 15:00, room 2BC30
Paolo Musolino (Padova, Dip. Mat.)
"Harmonic functions in a domain with a small hole"

-Abstract
The asymptotic behaviour of the solutions of boundary value problems in domains with small holes has been largely investigated by many authors with different approaches. In this seminar, after an introductory part, we consider a Dirichlet problem for the Laplace operator in a bounded domain of R^n with a small set removed, and see what happens to the solution when the hole collapses to a point (more details in the attached pdf file). Based on joint work with M. Dalla Riva, Universidade de Aveiro.

Rif. int. C. Marastoni, T. Vargiolu

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