54 citations · 205 across the 31 of their papers we have counts for
35 papers
On unique continuation for non-local dispersive models
Felipe Linares, Gustavo Ponce
We consider unique continuation properties of solutions to a family of evolution equations. Our interest is mainly on nonlinear non-local models. This class contains the Benjamin-O…
On the unique continuation of solutions to non-local non-linear dispersive equations
Carlos E. Kenig, Didier Pilod, Gustavo Ponce +1
We prove unique continuation properties of solutions to a large class of nonlinear, non-local dispersive equations. The goal is to show that if are two suitable solutio…
On the long time behavior of solutions to the Intermediate Long Wave equation
Claudio Muñoz, Gustavo Ponce, Jean-Claude Saut
We show that the limit infimum, as time goes to infinity, of any uniformly bounded in time solution to the Intermediate Long Wave equation converge to ze…
Asymptotic behavior of solutions of the dispersive generalized Benjamin-Ono equation
Felipe Linares, Argenis Mendez, Gustavo Ponce
We show that for any uniformly bounded in time solution of the dispersive generalized Benjamin-Ono equation, the limit infimum, as time goes to infinity, converge…
Unique Continuation Properties for solutions to the Camassa-Holm equation and other non-local equations
Felipe Linares, Gustavo Ponce
It is shown that if is a solution of the initial value problem for the Camassa-Holm equation which vanishes in an open set , then $\,…
Uniqueness Properties of Solutions to the Benjamin-Ono equation and related models
Carlos E. Kenig, Gustavo Ponce, Luis Vega
We prove that if are solutions of the Benjamin-Ono equation defined in which agree in an open set , then $u_1\equiv…