6 papers
On the nonlinear Schrödinger equation in spaces of infinite mass and low regularity
Vanessa Barros, Simão Correia, Filipe Oliveira
We study the nonlinear Schrödinger equation with initial data in , where and $2<p<2…
Shortest distance between multiple orbits and generalized fractal dimensions
Vanessa Barros, Jerome Rousseau
We consider rapidly mixing dynamical systems and link the decay of the shortest distance between multiple orbits with the generalized fractal dimension. We apply this result to mul…
On the two-power nonlinear Schrödinger equation with non-local terms in Sobolev-Lorentz spaces
Vanessa Barros, Lucas C. F. Ferreira, Ademir Pastor
We are concerned with the two-power nonlinear Schrödinger-type equations with non-local terms. We consider the framework of Sobolev-Lorentz spaces which contain singular functions…
On the shortest distance between orbits and the longest common substring problem
Vanessa Barros, Lingmin Liao, Jerome Rousseau
In this paper, we study the behaviour of the shortest distance between orbits and show that under some rapidly mixing conditions, the decay of the shortest distance depends on the…
A remark on the well-posedness of the degenerated Zakharov system
Vanessa Barros, Felipe Linares
We extend the local well-posedness theory for the Cauchy problem associated to a degenerated Zakharov system. The new main ingredients are the derivation of Strichartz and maximal…
The Davey Stewartson system in Weak Spaces
Vanessa Barros
We study the global Cauchy problem associated to the Davey-Stewartson system in $\re^n,\ n=2,3$. Existence and uniqueness of solution are stablished for small data in some weak $L^…