54 citations · 58 across the 8 of their papers we have counts for
9 papers
Decay and regularity properties for the dispersion generalized Benjamin-Ono equation
Germán Fonseca, Oscar Riaño, Guillermo Rodríguez-Blanco
We study spatial decay properties of solutions to the dispersion generalized Benjamin-Ono equation. We first establish persistence properties in weighted Sobolev spaces under a sha…
On the persistence properties for the fractionary BBM equation with low dispersion in weighted Sobolev spaces
Germán Fonseca, Oscar Riaño, Guillermo Rodriguez-Blanco
We consider the initial value problem associated to the low dispersion fractionary Benjamin-Bona-Mahony equation, fBBM. Our aim is to establish local persistence results in weighte…
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…
Well-posedness for the two dimensional generalized Zakharov-Kuznetsov equation in anisotropic weighted Sobolev spaces
German E. Fonseca, Miguel A. Pachon
We consider the well-posedness of the initial value problem associated to the k-generalized Zakharov-Kuznetsov equation in fractional weighted Sobolev spaces. Our method of proof i…
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…
Well-posedness results for the dispersion generalized Benjamin-Ono equation via the contraction principle
Germán Fonseca, Felipe Linares, Gustavo Ponce
We study the initial value problem associated to the dispersion generalized Benjamin-Ono equation. Our aim is to establish well-posedness results in weighted Sobolev spaces via con…
The IVP for the dispersion generalized Benjamin-Ono equation in weighted Sobolev spaces
German Fonseca, Felipe Linares, Gustavo Ponce
We study the initial value problem associated to the dispersion generalized Benjamin-Ono equation. Our aim is to establish well posedness results in weighted Sobolev spaces and to…
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…
The IVP for the Benjamin-Ono equation in weighted Sobolev spaces
German Fonseca, Gustavo Ponce
We study the initial value problem associated to the Benjamin-Ono equation. The aim is to establish persistence properties of the solution flow in the weighted Sobolev spaces $Z_{s…