4 citations · 4 across the 4 of their papers we have counts for
4 papers
Energy-critical inhomogeneous generalized Hartree equation with inverse square potential
Seongyeon Kim, Tarek Saanouni
This work studies the Cauchy problem for the energy-critical inhomogeneous Hartree equation with inverse square potential $$i\partial_t u-\mathcal K_λu=\pm |x|^{-τ}|u|^{p-2}(I_α*|\…
Well-posedness and scattering for a 2D inhomogeneous NLS with Aharonov-Bohm magnetic potential
Mohamed Majdoub, Tarek Saanouni
We consider the magnetic nonlinear inhomogeneous Schrödinger equation $$i\partial_t u -\left(-i\nabla+\fracα{|x|^2}(-x_2,x_1)\right)^2 u =\pm|x|^{-\varrho}|u|^{p-1}u,\quad (t,x)\in…
On coupled nonlinear Schrodinger equations with harmonic potential
Tarek Saanouni
The initial value problem for some coupled nonlinear Schrodinger system with unbounded potential is investigated. In the defocusing case, global well-posedness is obtained. For the…
Well posedness and unconditional non uniqueness for a 2D semilinear heat equation
Slim Ibrahim, Rym Jrad, Mohamed Majdoub +1
We investigate the initial value problem for a semilinear heat equation with exponential-growth nonlinearity in two space dimension. First, we prove the local existence and uncondi…