NONLINEAR DAMPED SCHR¨ODINGERSCHR¨ SCHR¨ODINGER EQUATION IN TWO SPACE DIMENSIONS

Tarek Saanouni
2015 Electronic Journal of Differential Equations   unpublished
In this article, we study the initial value problem for a semi-linear damped Schrödinger equation with exponential growth nonlinearity in two space dimensions. We show global well-posedness and exponential decay.
fatcat:3kvvbs6vvfg4lkwrdm65ngvr5e