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math.AP2023★ 1 cited
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…
math.AP2023
An inhomogeneous nonlinear parabolic equation with concave nonlinearity
Miguel Loayza, Mohamed Majdoub
We establish both the existence and uniqueness of non-negative global solutions for the nonlinear heat equation , , in the whole space $\mathbb{R…
math.AP2023
Energy scattering for the unsteady damped nonlinear Schrodinger equation
Makram Hamouda, Mohamed Majdoub
We investigate the large time behavior of the solutions to the nonlinear focusing Schrödinger equation with a time-dependent damping in the energy sub-critical regime. Under non cl…