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Boundary singular solutions associated with connecting thin tubes April 25, 2011 (04:10 PM PDT - 05:10 PM PDT)
Parent Program: --
Location: UC Berkeley, 60 Evans Hall
Speaker(s) Susanna Terracini (Università di Torino)
Description Speaker: Susanna Terracini (Università di Milano - Bicocca)
"Free Boundary Problems"
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
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Consider two domains connected by a thin tube so that the
mass of a given eigenfunction (linear or nonlinear) concentrates in
only one of the two domains. The restriction on the other domain
develops a singularity at the junction of the tube, as the section of
the channel shrinks to zero. The asymptotics for this type of
solutions can be precisely described.

This is a result obtained in collaboration with L. Abatangelo and V. Felli

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