Rodrigo Bañuelos, Michael M. H. Pang
We investigate stability and approximation properties of the lowest nonzero eigenvalue and corresponding eigenfunction of the Neumann Laplacian on domains satisfying a heat kernel bound condition. The results and proofs in this paper will be used and extended in a sequel paper to obtain stability results for domains in with a snowflake type boundary.
Submitted February 4, 2008. Published October 24, 2008.
Math Subject Classifications: 35P05, 35P15.
Key Words: Stability; approximations; Neumann eigenvalues and eigenfunctions.
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| Rodrigo Bañuelos |
Department of Mathematics, Purdue University
West Lafayette, IN 47906, USA
| Michael M. H. Pang |
Department of Mathematics, University of Missouri
Columbia, MO 65211, USA
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