No CrossRef data available.
Article contents
Eigenfunction Decay For the Neumann Laplacian on Horn-Like Domains
Published online by Cambridge University Press: 20 November 2018
Abstract
The growth properties at infinity for eigenfunctions corresponding to embedded eigenvalues of the Neumann Laplacian on horn-like domains are studied. For domains that pinch at polynomial rate, it is shown that the eigenfunctions vanish at infinity faster than the reciprocal of any polynomial. For a class of domains that pinch at an exponential rate, weaker, ${{L}^{2}}$ bounds are proven. A corollary is that eigenvalues can accumulate only at zero or infinity.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 2000