期刊论文

Zhu, Kaixuan

英文

Journal of Mathematical Physics

0022-2488

2019

60

3

032702

10.1063/1.5040329

The authors would like to thank the referee for his/her helpful comments and suggestions. This work was supported by the NSFC (Grant Nos. 11601522 and 11801493), the Fundamental Research Funds for the Central Universities of China (Grant No. 17CX02036A), the Province Natural Science Foundation of Hu’nan (Grant Nos. 2017JJ3222 and 2018JJ2416), the Provincial Natural Science Foundation of Hebei (Grant No. A2018203309), and the Doctoral Research Fund of Hu’nan university of Arts and Science (Grant No. 16BSQD13).

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In this paper, we prove the existence of the pullback attractors in L-2 (R-N), L-p (R-N), and H-1 (R-N) for a nonlinear reaction-diffusion equation in unbounded domains, in which the nonlinearity f satisfies the polynomial growth of arbitrary order p - 1(p > 2) and the external forcing g is an element of L-loc(2) (R; L-2 (R-N)) only subjects to the weaker integrability condition integral(t)(-infinity) e(alpha s)parallel to g(s)parallel to(2...