3 papers
math.AP2018
The IVP for a nonlocal perturbation of the Benjamin-Ono equation in classical and weighted Sobolev spaces
Germán Fonseca, Ricardo Pastrán, Guillermo Rodríguez-Blanco
We prove that the initial value problem associated to a nonlocal perturbation of the Benjamin-Ono equation is locally and globally well-posed in Sobolev spaces fo…
math.AP2013
Well-posedness and ill-posedness results for the regularized Benjamin-Ono equation in weighted Sobolev spaces
German Fonseca, Guillermo Rodriguez-Blanco, Wilson Sandoval
We consider the initial value problem associated to the regularized Benjamin-Ono equation, rBO. Our aim is to establish local and global well-posedness results in weighted Sobolev…
math.AP2011
The IVP for the Benjamin-Ono equation in weighted Sobolev spaces II
German Fonseca, Felipe Linares, And Gustavo Ponce
In this work we continue our study initiated in \cite{GFGP} on the uniqueness properties of real solutions to the IVP associated to the Benjamin-Ono (BO) equation. In particular, w…