The existence of a compact uniform attractor for a family of processes corre- sponding to the dissipative non-autonomous Klein-Gordon-SchrSdinger lattice dynamical system is proved. An upper bound of the Kolmogorov en...The existence of a compact uniform attractor for a family of processes corre- sponding to the dissipative non-autonomous Klein-Gordon-SchrSdinger lattice dynamical system is proved. An upper bound of the Kolmogorov entropy of the compact uniform attractor is obtained, and an upper semicontinuity of the compact uniform attractor is established.展开更多
基金This work is supported by National Natural Science Foundation of China under Grant(10771139)Inno-vation Program of Shanghai Municipal Education Commission under Grant(08ZZ70).
基金Project supported by the National Natural Science Foundation of China(No.10771139)the Ph.D. Program of Ministry of Education of China(No.200802700002)+4 种基金the Shanghai Leading Academic Discipline Project(No.S30405)the Innovation Program of Shanghai Municipal Education Commission(No.08ZZ70)the Foundation of Shanghai Talented Persons(No.049)the Leading Academic Discipline Project of Shanghai Normal University(No.DZL707)the Foundation of Shanghai Normal University(No.DYL200803)
文摘The existence of a compact uniform attractor for a family of processes corre- sponding to the dissipative non-autonomous Klein-Gordon-SchrSdinger lattice dynamical system is proved. An upper bound of the Kolmogorov entropy of the compact uniform attractor is obtained, and an upper semicontinuity of the compact uniform attractor is established.