In this paper,we consider the strong dissipative KDV type equation on an unbounded domain R1.By applying the theory of decomposing operator and the method of constructing some compact operator in weighted space,the ex...In this paper,we consider the strong dissipative KDV type equation on an unbounded domain R1.By applying the theory of decomposing operator and the method of constructing some compact operator in weighted space,the existence of exponential attractor in phase space H2(R1) is obtained.展开更多
基金Supported by the Natural Sciences Foundation of Gansu Province (Grant No.3ZS061-A25-016)the Education Department Foundation of Gansu Province (Grant No.0801-02)NWNU-KJCXGC-03-40
文摘In this paper,we consider the strong dissipative KDV type equation on an unbounded domain R1.By applying the theory of decomposing operator and the method of constructing some compact operator in weighted space,the existence of exponential attractor in phase space H2(R1) is obtained.