Eigenvalue asymptotic of Robin Laplace operators on two-dimensional domains with cusps

Details Eigenvalue asymptotic of Robin Laplace operators on two-dimensional domains with cusps Eigenvalue asymptotic of Robin Laplace operators on two-dimensional domains with cusps

2010-06-29

arxiv.org/abs/1006.5583v1

Mathematics

Spectral Theory

Scientific paper

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.

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