11 citations · 14 across the 4 of their papers we have counts for
4 papers
How large can the first eigenvalue be on a surface of genus two?
D. Jakobson, M. Levitin, N. Nadirashvili +2
Sharp upper bounds for the first eigenvalue of the Laplacian on a surface of a fixed area are known only in genera zero and one. We investigate the genus two case and conjecture th…
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-…
Spectral problems with mixed Dirichlet-Neumann boundary conditions: isospectrality and beyond
Dmitry Jakobson, Michael Levitin, Nikolai Nadirashvili +1
Consider a bounded domain with the Dirichlet condition on a part of the boundary and the Neumann condition on its complement. Does the spectrum of the Laplacian determine uniquely…
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…