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.
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Title
NONLINEAR DAMPED SCHRODINGER EQUATION IN TWO SPACE DIMENSIONS
Creators - without role
Tarek Saanouni
Publication Details
Electronic journal of differential equations, Vol.2015(121), pp.1-9