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math.SP2024
On the spectral asymptotics in domains with long boundary
Leonid Friedlander
I discuss a simple toy problem for the Dirichlet Laplacian in a sequence of domains where the contribution of the boundary to the spectral asymptotics is of the same order as the c…
math.SP2007★ 6 cited
On the Spectrum of the Dirichlet Laplacian in a Narrow Strip, II
Leonid Friedlander, Michael Solomyak
We consider the Dirichlet Laplacian in a family of narrow unbounded domains. As the width of these domains goes to 0, we study the asymptotic behavior of the eigenvalues that lie b…