activity
20162021
most citedScattering for the radial focusing INLS equation in higher dimensions

12 citations · 13 across the 3 of their papers we have counts for

collaborators

8 papers

math.AP2021

Scattering for the non-radial inhomogenous biharmonic NLS equation

Luccas Campos, Carlos M. Guzmán

We consider the focusing inhomogeneous biharmonic nonlinear Schrödinger equation in , \begin{equation} iu_t + Δ^2 u - |x|^{-b}|u|^αu=0 \end{equation} when $b > 0…

math.AP2021

Some remarks on the inhomogeneous biharmonic NLS equation

Carlos M. Guzmán, Ademir Pastor

We consider the inhomogeneous biharmonic nonlinear Schrödinger equation where and , . In the subctritical case, we improve…

math.AP2021

On the inhomogeneous NLS with inverse-square potential

Luccas Campos, Carlos M. Guzmán

We consider the inhomogeneous nonlinear Schrödinger equation with inverse-square potential in $$ i u_t + \mathcal{L}_a u+λ|x|^{-b}|u|^αu = 0,\;\;\mathcal{L}_a=Δ-\fra…

math.AP2021

Scattering for the non-radial energy-critical inhomogeneous NLS

Carlos M. Guzmán, Jason Murphy

We prove scattering below the ground state threshold for an energy-critical inhomogeneous nonlinear Schrödinger equation in three space dimensions. In particular, we extend results…

math.AP20201 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 , where and . We firs…

math.AP2019

On the inhomogeneous biharmonic nonlinear Schrödinger equation: local, global and stability results

Carlos M. Guzmán, Ademir Pastor

We consider the inhomogeneous biharmonic nonlinear Schrödinger equation (IBNLS) where and , . We show local and global wel…