Pullback D-attractors for nonautonomous sine-Gordon equations

作者：Wang Yonghai^*; Zhong Chengkui

来源：Nonlinear Analysis-Theory Methods & Applications, 2007, 67(7): 2137-2148.

DOI：10.1016/j.na.2006.09.019

• nonautonomous sine-Gordon equation
• pullback D-attractor
• measure of noncompactness
• pullback D-omega-limit compact
• pullback D-Condition (C)

In this paper, we consider the pullback D-attractor for the nonautonomous sine-Gordon wave equation. We will show the existence of the pullback D-attractor in V x H and in D(A) x V. To this end, some abstract results are established. We use the methods provided by Q.F. Ma, S.H. Wang, C.K. Zhong, Necessary and sufficient conditions for the existence of global attractors for semigroups and applications, J. Indiana Univ. Math. 51 (6) (2002), to establish some sufficient conditions for the existence of the pullback D-attractor of an infinite dimensional dynamical system.

• 出版日期2007-10-1
• 单位兰州大学