Canadian Mathematical Society
Canadian Mathematical Society
  location:  Publicationsjournals
Search results

Search: All articles in the CMB digital archive with keyword horn-like domain

  Expand all        Collapse all Results 1 - 1 of 1

1. CMB 2000 (vol 43 pp. 51)

Edward, Julian
Eigenfunction Decay For the Neumann Laplacian on Horn-Like Domains
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.

Keywords:Neumann Laplacian, horn-like domain, spectrum
Categories:35P25, 58G25

© Canadian Mathematical Society, 2014 :