9 citations · 19 across the 10 of their papers we have counts for
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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…
math.SP2007★ 3 cited
On the Spectrum of the Dirichlet Laplacian in a Narrow Strip
Leonid Friedlander, Michael Solomyak
We derive a two-terms asymptotics for eigenvalues of the Dirichlet Laplacian in a narrow strip of variable width. The asymptotics is taken with respect to a small paprameter that c…