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On the stabilization of and norms for the Zakharov-Kuznetsov equation with damping
Mykael Cardoso, Gleison do N. Santos, Roger P. de Moura
In this paper we establish exponential decay results for solutions of the damped -dimensional Zakharov--Kuznetsov equation for . More precisely, we prove the expo…
On global well-posedness, scattering and other properties for infinity energy solutions to inhomogeneous NLS Equation
Mykael Cardoso, Roger de Moura, Gleison Santos
In this work, we consider the inhomogeneous nonlinear Schrödinger (INLS) equation in \begin{align} i\partial_t u + Δu + γ|x|^{-b}|u|^α u = 0, \end{align} where $γ=\p…
On a class of solutions to the generalized derivative Schrödinger equations II
Felipe Linares, Gustavo Ponce, Gleison N. Santos
In this note we shall continue our study on the initial value problem associated for the generalized derivative Schrödinger (gDNLS) equation $$ \partial_tu=i\partial_x^2u + μ\,|u|^…
On a class of solutions to the generalized derivative Schrödinger equations
Felipe Linares, Gustavo Ponce, Gleison N. Santos
In this work we shall consider the initial value problem associated to the generalized derivative Schrödinger equations \begin{equation*} \p_tu=i\p_x^2u + μ\,|u|^{\a}\p_xu, \hskip1…