77 citations · 86 across the 13 of their papers we have counts for
14 papers
Global Dynamics of the Non-Radial Energy-Critical Inhomogeneous Biharmonic NLS
Carlos M. Guzmán, Sahbi Keraani, Chengbin Xu
We investigate the focusing inhomogeneous nonlinear biharmonic Schrödinger equation \[ i\partial_t u + Δ^2 u - |x|^{-b}|u|^p u = 0 \quad \text{on } \mathbb{R} \times \mathbb{R}^N,…
Energy scattering for a class of inhomogeneous biharmonic nonlinear Schrödinger equations in low dimensions
Van Duong Dinh, Sahbi Keraani
We consider a class of biharmonic nonlinear Schrödinger equations with a focusing inhomogeneous power-type nonlinearity \[ i\partial_t u -Δ^2 u+μΔu +|x|^{-b} |u|^αu=0, \quad \left.…
Long time dynamics of non-radial solutions to inhomogeneous nonlinear Schrödinger equations
Van Duong Dinh, Sahbi Keraani
We study long time dynamics of non-radial solutions to the focusing inhomogeneous nonlinear Schrödinger equation. By using the concentration/compactness and rigidity method, we est…
Long time dynamics for the focusing nonlinear Schrödinger equation with exponential nonlinearities
Van Duong Dinh, Sahbi Keraani, Mohamed Majdoub
In this paper, we study the focusing nonlinear Schrödinger equation with exponential nonlinearities \[ i \partial_t u + Δu = - \left(e^{4π|u|^2} - 1 - 4πμ|u|^2 \right) u, \quad u(0…
On the inviscid limit of the 2D Euler equations with vorticity along the scale
Frederic Bernicot, Tarek M. Elgindi, Sahbi Keraani
In a recent paper [5], the global well-posedness of the two-dimensional Euler equation with vorticity in \mbox{} was proved, where is a Banach space which is…
Sharp constants for composition with a bi-Lipschitz measure-preserving map
Frederic Bernicot, Sahbi Keraani
In this note, we aim to describe sharp constants for the composition operator with a bi-Lipschitz measure-preserving map in several functional spaces (BMO, Hardy space, Carleson me…