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math.AP2025
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…
math.AP2024
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…