Rodrigo Bañuelos, Michael M. H. Pang
Abstract:
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 email: banuelos@math.purdue.edu | |
Michael M. H. Pang Department of Mathematics, University of Missouri Columbia, MO 65211, USA email: pangm@math.missouri.edu |
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