T. Saanouni

activity

20102026

most citedWell posedness and unconditional non uniqueness for a 2D semilinear heat equation

4 citations · 6 across the 21 of their papers we have counts for

collaborators

Showing 2020 · math.APShow all

4 papers · 2 filters

math.AP2020

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 $i u ˙ + Δ^{2} u + F (x, u) = 0.$ Indeed, for both cases, local and non-local sour…

math.AP2020

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 $i u ˙ + Δ^{2} u \pm (I_{α} * ∣ u ∣^{p}) ∣ u ∣^{p - 2} u = 0.$ Indeed, for both attract…

math.AP2020

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 $i u ˙ + Δ u + (I_{α} * ∣ \cdot ∣^{b} ∣ u ∣^{p}) ∣ x ∣^{b} ∣ u ∣^{p - 2} u = 0.$ Indeed, using a new approa…

math.AP2020

Remarks on the fractional inhomogeneous Hartree equation

Tarek Saanouni

This paper studies the inhomogeneous fractional Schödinger equation $i u ˙ - (- Δ)^{s} u = \pm (I_{α} * ∣ \cdot ∣^{b} ∣ u ∣^{p}) ∣ x ∣^{b} ∣ u ∣^{p - 2} u .$ In the mass super-critical and energy sub-critical…