PULLBACK ATTRACTORS FOR A CLASS OF NON-AUTONOMOUS SEMILINEAR PARABOLIC EQUATIONS WITH INFINITE DELAY

被引：0

作者：

Le Van Hieu ^{[1
]}

机构：

[1] Acad Journalism & Commun, 36 Xuan Thuy, Hanoi, Vietnam

来源：

ACTA MATHEMATICA UNIVERSITATIS COMENIANAE | 2021年 / 90卷 / 03期

关键词：

Retarded equation; semilinear parabolic equation; non-autonomous; pullback attractor;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence, uniqueness and the asymptotic behavior of solutions of a class of retarded non-autonomous semilinear parabolic equations with infinite delay effects in the weighted space C-gamma, nonlinearity containing super-linear perturbations, and time-dependent external forces. With a suitable exponential growth of the external force, we prove the existence of pullback attractors without restriction on the growth order of polynomial type nonlinearity.

引用

页码：289 / 308

页数：20

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