Pseudo-laplaciens. I

Abstract

We construct, on a 2 or 3-dimensional Riemannian manifold, the self-adjoint extensions Δ α,x 0 (α∈R/πZ) of the Laplace operator restricted to the functions vanishing in some neigbhourhood of some point x 0 of X. We compute explicitely the eigenvalues of Δ α,x 0 .

Locations

• Annales de l’institut Fourier - View - PDF
• Annales de l’institut Fourier - View - PDF