无界域上具阻尼的Kdv-Ksv方程的指数吸引子

Exponential Attractor of Clamped Kdv-Ksv Equations in an Unbounded Domain

通过加权空间的紧性和算子的分解来构造H2 (R1)的紧算子 ,证明了Kdv Ksv方程在H2 (R1)中存在一个指数吸引子 .

The existence of exponential attractor in H\+2(R\+1) is proved for damped Kdv Ksv equation by constructing compact operators with the compactress of the weighted spaces and the decomposition of operators.