3 papers
math.AP2023
Spatial decay properties for a model in shear flows posed on the cylinder
Ricardo A. Pastrán, Oscar Riaño
We study spatial decay properties for solutions of the Pelinovski-Stepanyants equation posed on the cylinder. We establish the maximum polynomial decay admissible for solutions of…
math.AP2019
Well-posedness for Fractional Growth-Dissipative Benjamin-Ono Equations
Ricardo A. Pastrán, Oscar G. Riaño C
This paper is devoted to study the Cauchy problem for the fractional dissipative BO equations , . When , we prove GWP i…
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…