Vanessa Barros

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20112020

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math.AP2020

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 $Z_{p}^{s} (R^{d}) = H ˙^{s} (R^{d}) \cap L^{p} (R^{d})$ , where $0 < s < min {d /2, 1}$ and $2<p<2…

math.AP2019

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…

math.AP2011

The Davey Stewartson system in Weak $L^{p}$ 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^…

On the nonlinear Schrödinger equation in spaces of infinite mass and low regularity

On the two-power nonlinear Schrödinger equation with non-local terms in Sobolev-Lorentz spaces

The Davey Stewartson system in Weak Lp Spaces

The Davey Stewartson system in Weak $L^{p}$ Spaces