1 citations · 1 across the 2 of their papers we have counts for
3 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…
math.AP2001
Trapped modes in a waveguide with a thick obstacle
H. Hawkins, L. Parnovski
We consider two-dimensional waveguide with a rectangular obstacle symmetric about the axis of the waveguie. We study the behaviour of the Neumann eigenvalues located below the firs…