The Family of Global Attractors for Nonlocal Higher-Order Wave Equations with Variable Coefficients and Weak Damping
LÜ Penghui1, LIN Guoguang2, SUN Yuting3
1. Applied Technology College, Soochow University, Suzhou 215325, China;
2. School of Mathematics and Statistics, Yunnan University, Kunming 650500, China;
3. Kunming Campus of Army Border and Coastal Defense College, Kunming 650207, China
Abstract：The asymptotic behavior of nonlocal higher order wave equation with variable coefficients and weak damping is studied. The existence and uniqueness of global solution of the equation are proved by reasonable prior estimation and classical Galerkin method. Then the bounded absorption set is obtained according to the prior estimation lemma, and then the global attractor subclass of the equation is obtained.
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LÜ Penghui, LIN Guoguang, SUN Yuting. The Family of Global Attractors for Nonlocal Higher-Order Wave Equations with Variable Coefficients and Weak Damping. J Appl Funct Anal, 2020, 22(4): 268-280.
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2020, Vol. 22 
