TY - JOUR
T1 - Uniform Compact Attractors for a Nonlinear Non-autonomous Equation of Viscoelasticity
AU - Yuming Qin , Shuxian Deng  & Bert Wolfgang Schulze 
JO - Journal of Partial Differential Equations
VL - 2
SP - 153
EP - 198
PY - 2009
DA - 2009/05
SN - 22
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5252.html
KW - Exponential stability
KW - absorbing set
KW - C_0-semigroup
KW - uniform compact attractor
AB - <p>In this paper we prove the regularity, exponential stability of global solutions and existence of uniform compact attractors of semiprocesses, generated by the global solutions, of a two-parameter family of operators for a nonlinear one-dimensional non-autonomous equation of viscoelasticity. We employ the properties of the analytic semigroup to show the compactness for the semiprocess generated by the global solutions.</p>