Electron. J. Diff. Equ., Vol. 2015 (2015), No. 121, pp. 1-9.

Nonlinear damped Schrodinger equation in two space dimensions

Tarek Saanouni

In this article, we study the initial value problem for a semi-linear damped Schrodinger equation with exponential growth nonlinearity in two space dimensions. We show global well-posedness and exponential decay.

Submitted November 28, 2014. Published April 30, 2015.
Math Subject Classifications: 35Q55.
Key Words: Nonlinear damped Schrodinger equation; existence; uniqueness; Moser-Trudinger inequality, decay.

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Tarek Saanouni
University Tunis El Manar
Faculty of Sciences of Tunis
LR03ES04 partial differential quations and applications
2092 Tunis, Tunisia
email: Tarek.saanouni@ipeiem.rnu.tn

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