Stability and Approximations of Eigenvalues and Eigenfunctions for the Neumann Laplacian, Part I
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چکیده
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 R2 with a snowflake type boundary.
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تاریخ انتشار 2008