On the asymptotic behaviour of the eigenvalues of a Robin problem

Details On the asymptotic behaviour of the eigenvalues of a Robin problem On the asymptotic behaviour of the eigenvalues of a Robin problem

2009-12-02

arxiv.org/abs/0912.0318v1

Mathematics

Analysis of PDEs

Scientific paper

We prove that every eigenvalue of a Robin problem with boundary parameter
$\alpha$ on a sufficiently smooth domain behaves asymptotically like
$-\alpha^2$ as $\alpha \to \infty$. This generalises an existing result for the
first eigenvalue.

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