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arXiv · 0912.0318

On the asymptotic behaviour of the eigenvalues of a Robin problem

Daniel Daners·James B. Kennedy
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Abstract

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

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Daniel Daners, James B. Kennedy. 2009-12-02. On the asymptotic behaviour of the eigenvalues of a Robin problem. https://arxiv.org/abs/0912.0318

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