10 papers
Remarks on the well-posedness of the energy-critical inhomogeneous Hartree equation
Seongyeon Kim, Tarek Saanouni, Ihyeok Seo
We study the energy-critical inhomogeneous Hartree equation in space dimensions three and higher. Previous local well-posedness results left open the parameter regime where the inh…
A note on the fourth-order Schrodinger equation with spatially growing inhomogeneous source term
Alaa Mohammed Alqaied, Tarek Saanouni
This paper studies a non-linear biharmonic Schödinger equation with an unbounded inhomogeneous term. The main goal is to develop a local theory but also a global theory for small…
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…
Normalized Standing Waves for the Focusing Inhomogeneous Schrödinger Equation with Spatially Growing Nonlinearity
Mohamed Majdoub, Tarek Saanouni
We study the focusing inhomogeneous nonlinear Schrödinger equation with and …
Biharmonic non-linear Schrödinger equation with an unbounded inhomogeneous term
Taif Abdullah Enaoufal, Tarek Saanouni
This paper is devoted to the analysis of a focusing nonlinear biharmonic Schrödinger equation in the presence of an unbounded growing up inhomogeneous term. The first main contrib…
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…