Graham Cox

most citedA Morse index theorem for elliptic operators on bounded domains

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.SP2014

The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials

Graham Cox, Christopher K. R. T. Jones, Yuri Latushkin +1

We study the Schrödinger operator $L = - Δ + V$ on a star-shaped domain $Ω$ in $R^{d}$ with Lipschitz boundary $\partial Ω$ . The operator is equipped with quite general Dirichlet-…

math.AP2014★ 1 cited

A Morse index theorem for elliptic operators on bounded domains

Graham Cox, Christopher K. R. T. Jones, Jeremy L. Marzuola

Given a selfadjoint, elliptic operator $L$ , one would like to know how the spectrum changes as the spatial domain $Ω \subset R^{d}$ is deformed. For a family of domains $\{Ω_…