Geodesic
Eigenfunction Decay For the Neumann Laplacian on Horn-Like Domains
Canadian mathematical bulletin, Tome 43 (2000) no. 1, pp. 51-59

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-2000-007-4
Mots-clés : 35P25, 58G25, Neumann Laplacian, horn-like domain, spectrum 
Edward, Julian. Eigenfunction Decay For the Neumann Laplacian on Horn-Like Domains. Canadian mathematical bulletin, Tome 43 (2000) no. 1, pp. 51-59. doi: 10.4153/CMB-2000-007-4
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