3 papers
math.AP2025
On decay and regularly of solutions of the Benjamin-Ono equation
Felipe Linares, Gustavo Ponce
We study persistence properties of solutions of the Benjamin-Ono equation in weighted Sobolev spaces. Roughly, we show that for , the solution of the BO remains in…
math.AP2024
On decay and asymptotic properties of solutions to the Intermediate Long Wave equation
Felipe Linares, Gustavo Ponce
We consider solutions to the initial value problem associated to the intermediate long wave (ILW) equation. We establish persistence properties of the solution flow in weighted Sob…
math.AP2024
On special properties of solutions to Camassa-Holm equation and related models
Christian Hong, Felipe Linares, Gustavo Ponce
We study unique continuation properties of solutions to the b-family of equations. This includes the Camassa-Holm and the Degasperi-Procesi models. We prove that for both, the init…