3 papers
math.AP2024
On local energy decay for solutions to the b-family of peakon equations
Christian Hong
This work is concerned with the long time behavior of solutions to the -family of peakon equations. We prove local energy decay of global solutions under suitable hypotheses. As…
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…
math.AP2023
On Special Properties of Solutions to the Benjamin-Bona-Mahony Equation
Christian Hong, Gustavo Ponce
This work is concerned with the Benjamin-Bona-Mahony equation. This model was deduced as an approximation to the Korteweg-de Vries equation in the description of unidirectional pro…