Pullback Attractors for a Damped Semilinear Wave Equation with Delays

作     者：Kai Xuan ZHU Yong Qin XIE Feng ZHOU 

作者机构：Hu'nan Province Cooperative Innovation Center for the Construction and Development of Dongting Lake Ecological Economic Zone College of Mathematics and Computational Science Hu'nan University of Arts and Science Changde 415000 P. R. China School of Mathematics and Statistics Changsha University of Science and Technology Changsha 410114 P. R. China College of Science China University of Petroleum (East China) Qingdao 266580 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2018年第34卷第7期

页      面：1131-1150页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the NSFC(Grants Nos.11471148 and 11601522) the Fundamental Research Funds for the Central Universities of China(Grant No.17CX02036A) the Provincial Natural Science Foundation of Hu’nan(Grant No.2017JJ3222) 

主　　题：Wave equations critical nonlinearity delays pullback attractors 

摘      要：In this paper, we consider the weakly damped wave equations with hereditary effects, and the nonlinearity f satisfies critical growth. The delay term g（t, ut） may be driven by a function with very weak assumptions, namely, just measurability. We analyze the well-posedness of solutions and verify the existence of the pullback ：D-attractor in CH01（Ω） × CL2 （Ω） by constructing the energy functional and combining with the idea of the contractive function.