|Location:||UC Berkeley, 60 Evans Hall|
"Free Boundary Problems"
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