7 citations · 35 across the 19 of their papers we have counts for
3 papers · 2 filters
Hamiltonian spectral flows, the Maslov index, and the stability of standing waves in the nonlinear Schrödinger equation
Graham Cox, Mitchell Curran, Yuri Latushkin +1
We use the Maslov index to study the spectrum of a class of linear Hamiltonian differential operators. We provide a lower bound on the number of positive real eigenvalues, which in…
Fredholm determinants, Evans functions and Maslov indices for partial differential equations
Graham Cox, Yuri Latushkin, Alim Sukhtayev
The Evans function is a well known tool for locating spectra of differential operators in one spatial dimension. In this paper we construct a multidimensional analogue as the modif…
Computing nodal deficiency with a refined Dirichlet-to-Neumann map
Gregory Berkolaiko, Graham Cox, Bernard Helffer +1
Recent work of the authors and their collaborators has uncovered fundamental connections between the Dirichlet-to-Neumann map, the spectral flow of a certain family of self-adjoint…