2 papers
math.SP2015
Eigenvalue asymptotics for an elastic strip and an elastic plate with a crack
André Hänel, Timo Weidl
We consider the elasticity operator with zero Poisson's ratio on an infinite strip and an infinite plate with a horizontal crack. We prove an asymptotic formula for the distance of…
math.SP2015
Spectral asymptotics for the Dirichlet Laplacian with a Neumann window via a Birman-Schwinger analysis of the Dirichlet-to-Neumann operator
André Hänel, Timo Weidl
In the present article we will give a new proof of the ground state asymptotics of the Dirichlet Laplacian with a Neumann window acting on functions which are defined on a two-dime…