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math.AP2025
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 contribu…
math.AP2025
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 d…
math.AP2025
Damping Effects on Global Existence and Scattering for an Inhomogeneous NLS Equation with Inverse-Square Potential
Makram Hamouda, Mohamed Majdoub, Tarek Saanouni
This work explores the global existence and scattering behavior of solutions to a damped, inhomogeneous nonlinear Schrodinger equation featuring a time-dependent damping term, an i…