一维无界区域上弱阻尼非线性Schrdinger方程的指数吸引子
Exponential Attractor of Weakly Damped Driven Nonlinear Schrdinger Equations in R
摘要
Ｐ．Ｌａｕｒｅｎｃｏｎ证明了弱阻尼非线性Ｓｃｈｒ■ｄｉｎｇｅｒ方程在无界区域ＲＮ（ｎ≤３）上存在一个最大的紧吸引子．利用另一种算子分解方式，并引入权函数，得到了Ｈ１（Ｒ）上的有限覆盖，进而获得了Ｈ１（Ｒ）上的指数吸引子．
The authors consider the cauchy problem of weakly damped driven nonlinear schr dinger equations in R and prove the existence of exponential attractor in H1(R).
出处
《云南大学学报（自然科学版）》
CAS
CSCD
1998年第S2期181-188,共8页
Journal of Yunnan University(Natural Sciences Edition)
参考文献2
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1Anatoli Babin,Basil Nicolaenko. Exponential attractors of reaction-diffusion systems in an unbounded domain[J] 1995,Journal of Dynamics and Differential Equations(4):567～590
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2Philippe Lauren?ot. Long-time behaviour for weakly damped driven nonlinear Schr?dinger equations in ? N ,N≤3[J] 1995,Nonlinear Differential Equations and Applications NoDEA(3):357～369
