Tarek Saanouni
Abstract:
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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