Asymptotic Stability for a Quasilinear Viscoelastic Equation with Nonlinear Damping and Memory  

作　　者：PENG Xiaoming SHANG Yadong 

机构地区：[1]School of Statistics and Mathematics,Guangdong University of Finance and Economics,Guangzhou 510320,China [2]School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,China

出　　处：《Journal of Partial Differential Equations》2023年第4期349-364,共16页偏微分方程（英文版）

基　　金：supported by the Basic Research Project of Guangzhou Science and Technology Plan(No.202201011341).

摘　　要：This paper is concerned with the asymptotic behavior of a quasilinear vis-coelastic equation with nonlinear damping and memory.Assuming that the kernelμ(s)satisfies 3 u'(s)≤-kiμ^(m)(s),1≤m<3/2 we establish the exponential stability result for m=1 and the polynomial stability result for1<m<3/2.

关 键 词：Exponential stability polynomial stability QUASILINEAR nonlinear damping MEMORY 

分 类 号：O175.27[理学—数学]