Spectral theory for the Neumann Laplacian on planar domains with horn-like ends Article

cited authors

  • Edward, J

fiu authors

abstract

  • The spectral theory for the Neumann Laplacian on planar domains with symmetric, horn-like ends is studied. For a large class of such domains, it is proven that the Neumann Laplacian has no singular continuous spectrum, and that the pure point spectrum consists of eigenvalues of finite multiplicity which can accumulate only at 0 or ∞. The proof uses Mourre theory.

publication date

  • January 1, 1997

Digital Object Identifier (DOI)

start page

  • 232

end page

  • 262

volume

  • 49

issue

  • 2