期刊论文

Xie, Yongqin

英文

Nonlinear Analysis: Real World Applications

1468-1218

2016

31

23-37

10.1016/j.nonrwa.2016.01.004

The authors are extremely grateful to the anonymous reviewers for many helpful comments and suggestions, which have contributed much to the improvement of this paper. This work was supported by National Science and Technology Major Projects of China (No. 2012ZX10001001-006 ) and National Natural Science Foundation of China (Nos. 11101053 , 71471020 ).

本校为第一且通讯机构

In this paper, using a new method (or technique) called "Asymptotic Contractive Semigroup Method" (see Theorem 2.3) we prove the existence of global attractor for the nonclassical diffusion equations inH1(Rn). The nonlinearity satisfies the arbitrary order polynomial growth conditions and the forcing term g only belongs toH-1(Rn). The results obtained essentially improve and complement in some previously published papers. ©2016 Elsevier Ltd. All ...