Stability of initial-boundary value problem for quasilinear viscoelastic equations

We investigate the stability of the initial-boundary value problem for the quasilinear viscoelastic equation $$\displaylines{ |u_t|^{\rho}u_{tt}-\Delta u_{tt}-\Delta u+\int_0^tg(t-s)\Delta u(s)ds=0, \quad \text{in }\Omega\times(0,+\infty),\cr u=0,\quad \text{in }\partial\Omega\times(0,+\infty)...

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Bibliographic Details
Main Authors: Kun-Peng Jin, Jin Liang, Ti-Jun Xiao
Format: Article
Language:English
Published: Texas State University 2020-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2020/85/abstr.html