8 citations · 12 across the 5 of their papers we have counts for
5 papers
Jumps and cusps: a new revival effect in local dispersive PDEs
Lyonell Boulton, George Farmakis, Beatrice Pelloni +1
We study the presence of a non-trivial revival effect in the solution of linear dispersive boundary value problems for two benchmark models which arise in applications: the Airy eq…
Completeness of trajectories associated to Appell hypergeometric functions
Lyonell Boulton
We examine the linear completeness of trajectories of eigenfunctions associated to non-linear eigenvalue problems, subject to Dirichlet boundary conditions on a segment. We pursue…
Spectral Geometry of Nuts and Bolts
Lyonell Boulton, Bernd Schroers, Kim Smedley-Williams
We study the spectrum of Laplace operators on a one-parameter family of gravitational instantons of bi-axial Bianchi IX type coupled to an abelian connection with self-dual curvatu…
Basis properties of the p,q-sine functions
Lyonell Boulton, Gabriel Lord
We improve the currently known thresholds for basisness of the family of periodically dilated p,q-sine functions. Our findings rely on a Beurling decomposition of the corresponding…
On a class of non-self-adjoint periodic boundary value problems with discrete real spectrum
Lyonell Boulton, Michael Levitin, Marco Marletta
In [arXiv:0801.0172] we examined a family of periodic Sturm-Liouville problems with boundary and interior singularities which are highly non-self-adjoint but have only real eigenva…