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Scattering for Radial Defocusing Inhomogeneous Bi-Harmonic SchrODinger Equations
Journal article   Peer reviewed

Scattering for Radial Defocusing Inhomogeneous Bi-Harmonic SchrODinger Equations

Tarek Saanouni
Potential analysis, Vol.56(4), pp.649-667
01/04/2022
DOI: https://doi.org/10.1007/s11118-020-09898-6

Abstract

Mathematics Physical Sciences Science & Technology
This note studies the asymptotic behavior of global solutions to the fourth-order Schrodinger equation i(u)over dot + Delta(2)u - F(x, u) = 0. Indeed, for both cases, local and non-local source term, the scattering is obtained in the defocusing mass super-critical and energy sub-critical regimes, with radial setting.

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