most citedOn the principal eigenvalue of a Robin problem with a large parameter

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math.SP2004

Existence of eigenvalues of a linear operator pencil in a curved waveguide -- localized shelf waves on a curved coast

E R Johnson, Michael Levitin, Leonid Parnovski

The study of the possibility of existence of the non-propagating, trapped continental shelf waves (CSWs)along curved coasts reduces mathematically to a spectral problem for a self-…

math.SP2004★ 1 cited

On the principal eigenvalue of a Robin problem with a large parameter

Michael Levitin, Leonid Parnovski

We study the asymptotic behaviour of the principal eigenvalue of a Robin (or generalised Neumann) problem with a large parameter in the boundary condition for the Laplacian in a pi…