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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 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…