数学研究
數學研究
수학연구
JOURNAL OF MATHEMATICAL STUDY
2010年
1期
39-49
,共11页
解的存在唯一性%整体吸引子%Hausdor f f维数%分形维数
解的存在唯一性%整體吸引子%Hausdor f f維數%分形維數
해적존재유일성%정체흡인자%Hausdor f f유수%분형유수
existence and uniqueness of solution%global attractor%dimension%fractal dimension
证明了具有弱阻尼项的广义KdV方程约周期初边值问题解的存在唯-性及整体吸引子存在性,最后获得了吸引子的Hausdor f f维数和分形维数的上界估计.
證明瞭具有弱阻尼項的廣義KdV方程約週期初邊值問題解的存在唯-性及整體吸引子存在性,最後穫得瞭吸引子的Hausdor f f維數和分形維數的上界估計.
증명료구유약조니항적엄의KdV방정약주기초변치문제해적존재유-성급정체흡인자존재성,최후획득료흡인자적Hausdor f f유수화분형유수적상계고계.
We proved weak damping equation of the generalized solution of initial boundary value problem of the cycle of existence and uniqueness and existence of global attractor,and finally obtained the attractor dimension and the fractal dimension of the upper bound estimate.
