Mykael Cardoso

activity

20182026

most citedBlow-up of radial solutions for the intercritical inhomogeneous NLS equation

18 citations · 46 across the 16 of their papers we have counts for

collaborators

16 papers

math.AP2026

On the stabilization of $L^{2}$ and $H^{1}$ 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 $n$ -dimensional Zakharov--Kuznetsov equation for $2 \leq n \leq 3$ . More precisely, we prove the expo…

math.AP2026

On the global dynamics and blow-up dichotomy for inhomogeneous coupled nonlinear Schrödinger systems

Mykael Cardoso, Lázaro Gil

In this work, we investigate the dynamics of an inhomogeneous coupled nonlinear Schrodinger system with quadratic-type interactions. Such systems arise naturally in nonlinear dynam…

math.AP2024

Minimal mass blow-up solutions for a inhomogeneous NLS equation

Mykael Cardoso, Luiz Gustavo Farah

We consider the inhomogeneous nonlinear Schrödinger (INLS) equation in $R^{N}$ \begin{align}\label{inls} i \partial_t u +Δu +V(x)|u|^{\frac{4-2b}{N}}u = 0, \end{align} where…

math.AP2024

Normalized solutions for INLS equation with critical Hardy-Sobolev type nonlinearities

Mykael Cardoso, José Francisco de Oliveira, Olímpio Miyagaki

We are interested in finding prescribed $L^{2}$ -norm solutions to inhomogeneous nonlinear Schrödinger (INLS) equations. For $N \geq 3$ we treat the equation with combined Hardy-Sobolev…

math.AP2023

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 $R^{n}$ \begin{align} i\partial_t u + Δu + γ|x|^{-b}|u|^α u = 0, \end{align} where $γ=\p…

math.AP2023

Blow-up for the 3D intercritical inhomogeneous NLS with inverse-square potential

Luccas Campos, Mykael Cardoso, Luiz Gustavo Farah

In this paper we study the focusing inhomogeneous 3D nonlinear Schrödinger equation with inverse-square potential in the mass-supercritical and energy-subcritical regime. We first…

math.AP2023★ 2 cited

A gradient type term for the $k$ -Hessian equation

Mykael de Araújo Cardoso, Jefferson de Brito Sousa, José Francisco de Oliveira

In this paper, we propose a gradient type term for the $k$ -Hessian equation that extends for $k > 1$ the classical quadratic gradient term associated with the Laplace equation. We pr…

math.AP2021★ 10 cited

Blow-up of non-radial solutions for the $L^{2}$ critical inhomogeneous NLS equation

Mykael Cardoso, Luiz Gustavo Farah

We consider the $L^{2}$ critical inhomogeneous nonlinear Schrödinger (INLS) equation in $R^{N}$ $i \partial_{t} u + Δ u + ∣ x ∣^{- b} ∣ u ∣^{\frac{4 - 2 b}{N}} u = 0,$ where $N \geq 1$ a…

math.AP2021★ 1 cited

Blow-up solutions of the intercritical inhomogeneous NLS equation: the non-radial case

Mykael Cardoso, Luiz Gustavo Farah

In this paper we consider the inhomogeneous nonlinear Schrödinger (INLS) equation \begin{align}\label{inls} i \partial_t u +Δu +|x|^{-b} |u|^{2σ}u = 0, \,\,\, x \in \mathbb{R}^N \e…

math.AP2021

A Virial-Morawetz approach to scattering for the non-radial inhomogeneous NLS

Luccas Campos, Mykael Cardoso

Consider the focusing inhomogeneous nonlinear Schrödinger equation in $H^{1} (R^{N})$ , $i u_{t} + Δ u + ∣ x ∣^{- b} ∣ u ∣^{p - 1} u = 0,$ when $b > 0$ and $N \geq 3$ in the intercritical ca…

math.AP2020★ 1 cited

Global well-posedness and critical norm concentration for inhomogeneous biharmonic NLS

Mykael Cardoso, Carlos M. Guzmán, Ademir Pastor

We consider the inhomogeneous biharmonic nonlinear Schrödinger (IBNLS) equation in $R^{N}$ , $i \partial_{t} u + Δ^{2} u - ∣ x ∣^{- b} ∣ u ∣^{2 σ} u = 0,$ where $σ > 0$ and $b > 0$ . We firs…

math.AP2020★ 18 cited

Blow-up of radial solutions for the intercritical inhomogeneous NLS equation

Mykael Cardoso, Luiz Gustavo Farah

We consider the inhomogeneous nonlinear Schrödinger (INLS) equation in $R^{N}$ $i \partial_{t} u + Δ u + ∣ x ∣^{- b} ∣ u ∣^{2 σ} u = 0,$ where $N \geq 3$ , $0<b<\min\left\{\frac{N}{2},2…

math.AP2020★ 2 cited

Scattering below the ground state for the intercritical non-radial inhomogeneous NLS

Mykael Cardoso, Luiz Gustavo Farah, Carlos M. Guzmán +1

We consider the focusing inhomogeneous nonlinear Schrödinger equation \[ i\partial_t u + Δu + |x|^{-b}|u|^αu = 0\quad\text{on}\quad\mathbb{R}\times\mathbb{R}^N, \] with $N \geq 2$ ,…

math.AP2020★ 11 cited

On well-posedness and concentration of blow-up solutions for the intercritical inhomogeneous NLS equation

Mykael Cardoso, Luiz Gustavo Farah, Carlos M. Guzmán

We consider the focusing inhomogeneous nonlinear Schrödinger (INLS) equation in $R^{N}$ $i \partial_{t} u + Δ u + ∣ x ∣^{- b} ∣ u ∣^{2 σ} u = 0,$ where $N \geq 2$ and $σ$ , $b > 0$ . We f…

math.AP2020

Blow up and scattering criteria above the threshold for the focusing inhomogeneous nonlinear Schrödinger equation

Luccas Campos, Mykael Cardoso

We consider the inhomogeneous nonlinear Schrödinger equation (INLS) in $R^{N}$ , $N \geq 1$ , $i \partial_{t} u + Δ u + ∣ x ∣^{- b} ∣ u ∣^{p - 1} u = 0,$ with finite-variance initial d…

math.AP2018★ 1 cited

On the critical norm concentration for the inhomogeneous nonlinear Schrödinger equation

Luccas Campos, Mykael Cardoso

We consider the inhomogeneous nonlinear Schrödiger equation (INLS) in $R^{N}$ $i \partial u_{t} + Δ u + ∣ x ∣^{- b} ∣ u ∣^{2 σ} u = 0,$ and show the $L^{2}$ -norm concentration for the…

On the stabilization of L2 and H1 norms for the Zakharov-Kuznetsov equation with damping

On the global dynamics and blow-up dichotomy for inhomogeneous coupled nonlinear Schrödinger systems

Minimal mass blow-up solutions for a inhomogeneous NLS equation

Normalized solutions for INLS equation with critical Hardy-Sobolev type nonlinearities

On global well-posedness, scattering and other properties for infinity energy solutions to inhomogeneous NLS Equation

Blow-up for the 3D intercritical inhomogeneous NLS with inverse-square potential

A gradient type term for the k-Hessian equation

Blow-up of non-radial solutions for the L2 critical inhomogeneous NLS equation

Blow-up solutions of the intercritical inhomogeneous NLS equation: the non-radial case

A Virial-Morawetz approach to scattering for the non-radial inhomogeneous NLS

Global well-posedness and critical norm concentration for inhomogeneous biharmonic NLS

Blow-up of radial solutions for the intercritical inhomogeneous NLS equation

Scattering below the ground state for the intercritical non-radial inhomogeneous NLS

On well-posedness and concentration of blow-up solutions for the intercritical inhomogeneous NLS equation

Blow up and scattering criteria above the threshold for the focusing inhomogeneous nonlinear Schrödinger equation

On the critical norm concentration for the inhomogeneous nonlinear Schrödinger equation

On the stabilization of $L^{2}$ and $H^{1}$ norms for the Zakharov-Kuznetsov equation with damping

A gradient type term for the $k$ -Hessian equation

Blow-up of non-radial solutions for the $L^{2}$ critical inhomogeneous NLS equation