2 citations · 2 across the 8 of their papers we have counts for
10 papers
Improvement of the Parabolic Regularization Method and Applications to Dispersive Models
Alysson Cunha
We prove that the Benjamin Ono equation is globally well-posed in for . Our approach does not rely on the global gauge transformation introduced by Tao (…
On the decay of solutions for the negative fractional KdV equation
Alysson Cunha, Oscar Riaño, Ademir Pastor
We explore the limits of fractional dispersive effects and their incidence in the propagation of polynomial weights. More precisely, we consider the fractional KdV equation when a…
The generalized fractional KdV equation in weighted Sobolev spaces
Alysson Cunha, Oscar Riaño
This work concerns the study of persistence property in polynomial weighted spaces for solutions of the generalized fractional KdV equation in any spatial dimension . By e…
On decay of the solutions for the dispersion generalized-Benjamin-Ono and Benjamin-Ono equations
Alysson Cunha
We show that uniqueness results of the kind those obtained for KdV and Schrödinger equations ([7], [28]), are not valid for the dispersion generalized-Benjamin-Ono equation in the…
On uniqueness results for the Benjamin equation
Alysson Cunha
We prove that the uniqueness results obtained in \cite{urrea} for the Benjamin equation, cannot be extended for any pair of non-vanishing solutions. On the other hand, we study uni…
Persistence properties for the dispersion generalized BO-ZK equation in weighted anisotropic Sobolev spaces
Alysson Cunha, Ademir Pastor
In this paper we study the initial-value problem associated with the dispersion generalized-Benjamin-Ono-Zakharov-Kuznetsov equation, $$ u_{t}+D^{a+1}_x \partial_{x}u+u_{xyy}+uu_{x…
The Cauchy Problem for Dissipative Benjamin-Ono equation in Weighted Sobolev spaces
Alysson Cunha
We study the well-posedness in weighted Sobolev spaces, for the initial value problem (IVP) associated with the dissipative Benjamin-Ono (dBO) equation. We establish persistence pr…
The IVP for the Kuramoto-Sivashinsky equation in low regularity Sobolev spaces
Alysson Cunha, Eduardo Alarcon
In this work, we study the initial-value problem associated with the Kuramoto-Sivashinsky equation. We show that the associated initial value problem is locally and globally well-p…
The IVP for the Benjamin-Ono-Zakharov-Kuznetsov equation in low regularity Sobolev spaces
Alysson Cunha, Ademir Pastor
In this paper we study the initial-value problem associated with the Benjamin-Ono-Zakharov-Kuznetsov equation. Such equation appears as a two-dimensional generalization of the Benj…
The IVP for the Benjamin-Ono-Zakharov-Kuznetsov equation in weighted Sobolev spaces
Alysson Cunha, Ademir Pastor
In this paper we study the initial-value problem associated with the Benjamin-Ono-Zakharov-Kuznetsov equation. We prove that the IVP for such equation is locally well-posed in the…