7 papers
Long time dynamics for the focusing inhomogeneous fractional Schrödinger equation
Mohamed Majdoub, Tarek Saanouni
We consider the following fractional NLS with focusing inhomogeneous power-type nonlinearity $$i\partial_t u -(-Δ)^s u + |x|^{-b}|u|^{p-1}u=0,\quad (t,x)\in \mathbb{R}\times \mathb…
Scattering for a class of non-radial inhomogeneous bi-harmonic Hartree equations
Tarek Saanouni, Hanene Hezzi
This manuscript proves the energy scattering of global solutions to a repulsive fourth-order generalized Hartree equation with non-radial data in the inter-critical regime. This wo…
Energy scattering for radial focusing inhomogeneous bi-harmonic Schrödinger equations
Tarek Saanouni
This note studies the asymptotic behavior of global solutions to the fourth-order Schrödinger equation Indeed, for both cases, local and non-local sour…
Scattering for radial bi-harmonic Hartree equations
Tarek Saanouni
This note studies the asymptotic behavior of global solutions to the fourth-order generalized Hartree equation Indeed, for both attract…
Scattering theory for a class of radial focusing inhomogeneous Hartree equations
Tarek Saanouni
This paper studies the asymptotic behavior of global solutions to the generalized Hartree equation Indeed, using a new approa…
Remarks on the fractional inhomogeneous Hartree equation
Tarek Saanouni
This paper studies the inhomogeneous fractional Schödinger equation In the mass super-critical and energy sub-critical…