4 citations · 6 across the 21 of their papers we have counts for
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Non-radial Blow-up for a mass-critical fourth-order inhomogeneous nonlinear Schrödinger equation
Ruobing Bai, Mohamed Majdoub, Tarek Saanouni
We investigate the blow-up for a fourth-order Schrödinger equation with a mas-critical focusing inhomogeneous nonlinearity. We prove the finite/infinite-time blow-up of non-radial…
NLS equation with competing inhomogeneous nonlinearities: ground states, blow-up, and scattering
Tianxiang Gou, Mohamed Majdoub, Tarek Saanouni
We investigate a class of nonlinear equations of Schrödinger type with competing inhomogeneous nonlinearities in the non-radial inter-critical regime, \begin{align*} i \partial_t u…
Finite time blow-up of non-radial solutions for some inhomogeneous Schrödinger equations
Ruobing Bai, Tarek Saanouni
This work studies the inhomogeneous Schrödinger equation Here, $s\in\{1,2…
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…