3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.AP2024★ 3 cited
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…
math.AP2024
Revivals, or the Talbot effect, for the Airy equation
Beatrice Pelloni, David A. Smith
We study Dirichlet-type problems for the simplest third-order linear dispersive PDE, often referred to as the Airy equation. Such problems have not been extensively studied, perhap…
math.SP2012
Spectral theory of some non-selfadjoint linear differential operators
David Andrew Smith, Beatrice Pelloni
We give a characterisation of the spectral properties of linear differential operators with constant coefficients, acting on functions defined on a bounded interval, and determined…