On the asymptotic behaviour of the eigenvalues of a Robin problem
classification
🧮 math.AP
keywords
alphaeigenvalueproblemrobinasymptoticasymptoticallybehavesbehaviour
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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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