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Global Existence and Uniform Decay for a Nonlinear Viscoelastic Equation with Damping

✍ Scribed by Jong Yeoul Park; Jum Ran Kang

Book ID
106335067
Publisher
Springer Netherlands
Year
2009
Tongue
English
Weight
390 KB
Volume
110
Category
Article
ISSN
0167-8019

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Existence and uniform decay for a non-li
Existence and uniform decay for a non-linear viscoelastic equation with strong damping
✍ M. M. Cavalcanti; V. N. Domingos Cavalcanti; J. Ferreira πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 106 KB πŸ‘ 1 views

## 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 Ξ”__u~t~__ acting in the domain and provided the relaxation function decays exponentially.