Eigenvalue asymptotic of Robin Laplace operators on two-dimensional domains with cusps
Hynek Kovařík · PORTO Publications Open Repository TOrino (Politecnico di Torino) · 2011
We consider Robin Laplace operators on a class of two-dimensional domains with cusps. Our main results include the formula for the asymptotic distribution of the eigenvalues of such operators. In particular, we show how the eigenvalue asymptotic depends on the geometry of the cusp and on the boundary conditions.