5 papers
Large data scattering for the defocusing -dispersion generalized Benjamin-Ono equation in the energy space
Luccas Campos, Felipe Linares, Thyago S. R. Santos
We study the defocusing -dispersion generalized Benjamin-Ono equation. For every even integer , we prove that solutions with initial data in the energy space $H^{\fracÎ…
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…
Sharp well-posedness for the -dispersion generalized Benjamin-Ono equations: Short and long time results
Luccas Campos, Felipe Linares, Thyago S. R. Santos
We consider the -dispersion generalized Benjamin-Ono (-DGBO) equations. For nonlinearities with power , we establish local and global well-posedness results for the…
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…
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…