49 citations · 289 across the 45 of their papers we have counts for
50 papers
Linear completeness of trajectories in Sobolev spaces and the symmetrised polydisk
Lyonell Boulton, Connor Evans
We establish a framework to determine the linear completeness of families of non-linear trajectories in Hilbert spaces, which relies on an infinite analytic block Toeplitz operator…
Jumps, cusps and fractals in the solution of the periodic linear Benjamin-Ono equation
Lyonell Boulton, Breagh Macpherson, Beatrice Pelloni
We establish two complementary results about the regularity of the solution of the periodic initial value problem for the linear Benjamin-Ono equation. We first give a new simple p…
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…
The pseudospectrum of an operator with Bessel-type singularities
Lyonell Boulton, Marco Marletta
In this paper we examine the asymptotic structure of the pseudospectrum of the singular Sturm-Liouville operator subject to periodic boundary…
The phenomenon of revivals on complex potential Schrödinger's equation
Lyonell Boulton, George Farmakis, Beatrice Pelloni
The mysterious phenomena of revivals in linear dispersive periodic equations was discovered first experimentally in optics in the 19th century, then rediscovered several times by t…
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…