The Neumann Laplacian of a jelly roll
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- by Barry Simon PDF
- Proc. Amer. Math. Soc. 114 (1992), 783-785 Request permission
Abstract:
We consider the Laplacian with Neumann boundary conditions of a bounded connected region obtained by removing a suitable infinite spiral from an annulus. We show that the spectrum has an absolutely continuous component.References
- R. Courant and D. Hilbert, Methods of mathematical physics. Vol. I, Interscience Publishers, Inc., New York, N.Y., 1953. MR 0065391
- E. B. Davies and B. Simon, Spectral properties of Neumann Laplacian of horns, Geom. Funct. Anal. 2 (1992), no. 1, 105–117. MR 1143665, DOI 10.1007/BF01895707
- Rainer Hempel, Luis A. Seco, and Barry Simon, The essential spectrum of Neumann Laplacians on some bounded singular domains, J. Funct. Anal. 102 (1991), no. 2, 448–483. MR 1140635, DOI 10.1016/0022-1236(91)90130-W V. Jaksic, S. Molchhonov, and B. Simon, Eigenvalue asymptotics of the Neumann Laplacian of the manifolds and regions with cusps, in preparation.
Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 114 (1992), 783-785
- MSC: Primary 58G25; Secondary 35J05, 35P05
- DOI: https://doi.org/10.1090/S0002-9939-1992-1076578-X
- MathSciNet review: 1076578