1 citations · 1 across the 2 of their papers we have counts for
4 papers
Isoperimetric relations between Dirichlet and Neumann eigenvalues
Graham Cox, Scott Scott MacLachlan, Luke Steeves
Inequalities between the Dirichlet and Neumann eigenvalues of the Laplacian have received much attention in the literature, but open problems abound. Here, we study the number of N…
Conformal invariants from nodal sets II. Manifolds with boundary
Graham Cox, Dmitry Jakobson, Mikhail Karpukhin +1
In this paper, we study conformal invariants that arise from nodal sets and negative eigenvalues of conformally covariant operators on manifolds with boundary. We also consider app…
A symplectic perspective on constrained eigenvalue problems
Graham Cox, Jeremy L. Marzuola
The Maslov index is a powerful tool for computing spectra of selfadjoint, elliptic boundary value problems. This is done by counting intersections of a fixed Lagrangian subspace, w…
Large-time uniqueness in a data assimilation problem for Burgers' equation
Graham Cox
There is currently a great deal of interest in the 4D-Var data assimilation scheme, in which one uses observational data to find the optimal initial condition for a differential eq…