Electron. J. Diff. Equ., Vol. 2016 (2016), No. 96, pp. 1-24.

Defocusing fourth-order coupled nonlinear Schrodinger equations

Radhia Ghanmi, Tarek Saanouni

Abstract:
We study the initial value problem for some defocusing coupled nonlinear fourth-order Schrodinger equations. We show global well-posedness and scattering in the energy space.

Submitted February 29, 2016. Published April 12, 2016.
Math Subject Classifications: 35Q55.
Key Words: Nonlinear fourth-order Schrodinger system; global well-posedness; scattering.

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Radhia Ghanmi
University Tunis El Manar
Faculty of Sciences of Tunis
LR03ES04 partial differential equations and applications
2092 Tunis, Tunisia
email: ghanmiradhia@gmail.com
Tarek Saanouni
University Tunis El Manar
Faculty of Sciences of Tunis
LR03ES04 partial differential equations and applications
2092 Tunis, Tunisia
email: Tarek.saanouni@ipeiem.rnu.tn

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