Stability and approximations of eigenvalues and eigenfunctions for the Neumann Laplacian, part I
Michael M. H. Pang, Rodrigo Bañuelos · DOAJ (DOAJ: Directory of Open Access Journals) · 2008
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 $mathbb{R}^2$ with a snowflake type boundary.