On the asymptotic behaviour of the eigenvalues of a Robin problem

By Daniel Daners, James B. Kennedy. Differential and Integral Equations, 2009

59 citations recorded by the source corpus.

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.

Subfields: Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/935250c6e919e58f64c35eb32764012993e4b76f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Konstantin Pankrashkin
2. Nicolas Popoff

In Mathematical Physics

1. Nicolas Popoff
2. Konstantin Pankrashkin

Citations in the corpus

• An effective Hamiltonian for the eigenvalue asymptotics of the Robin Laplacian with a large parameter (2015, background): “In particular, CΩ = 1 for C 1 domains, see [5,28].”