Abstract: We consider an eigenvalue problem for Laplace operator in a
two-dimensional straight strip. We impose Dirichlet condition
everywhere on the boundary except for a segment on the boundary on
which we settle Neumann condition. We prove that increase of this
segment length gives birth to new eigenvalues emerging from the
continuum. We find asymptotic expansions for these new eigenvalues
and derive explicit formulae for their leading terms. This is a
joint work with P. Exner and R. Gadyl'shin.