16 citations · 32 across the 8 of their papers we have counts for
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math.AP2009★ 12 cited
Asymptotics of Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin domains in R^d
Denis Borisov, Pedro Freitas
We consider the Laplace operator with Dirichlet boundary conditions on a domain in R^d and study the effect that performing a scaling in one direction has on the eigenvalues and co…
math.SP2009
Eigenvalue asymptotics, inverse problems and a trace formula for the linear damped wave equation
Denis Borisov, Pedro Freitas
We determine the general form of the asymptotics for Dirichlet eigenvalues of the one-dimensional linear damped wave operator. As a consequence, we obtain that given a spectrum cor…