Existence and uniform decay for a non‐linear viscoelastic equation with strong damping 论文
2001Mathematical Methods in the Applied Sciences引用 303
Stability and Controllability of Differential EquationsAdvanced Mathematical Modeling in EngineeringAdvanced Mathematical Physics Problems
摘要
Abstract This paper is concerned with the non‐linear viscoelastic equation We prove global existence of weak solutions. Furthermore, uniform decay rates of the energy are obtained assuming a strong damping Δ u t acting in the domain and provided the relaxation function decays exponentially. Copyright © 2001 John Wiley & Sons, Ltd.