三维无界区域上弱阻尼非线性Schrodinger方程的指数吸引子

Exponential Attractor of Weakly Damped Driven Nonlinear Schrdinger Equations in R^(3)

Philippe Laurencot在文[1]中证明了弱阻尼非线性Schrdinger方程在无界区域R^n(N≤3)上存在一个最大的紧吸引子,本文在此基础上得到了R^3上指数吸引予的存在性。

In this paper , the existence of the exponential attractor for weakly damped driven nonlinear Schrbdinger equations in R3 is proved.