2 papers
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…