Existence and uniform decay for a non‐linear viscoelastic equation with strong damping
Marcelo M. CavalcantiDepartamento de Matemática, Universidade Estadual de Maringá, 87020-900 Maringá, PR, BrazilV. N. Domingos CavalcantiDepartamento de Matemática, Universidade Estadual de Maringá, 87020-900 Maringá, PR, BrazilJorge FerreiraDepartamento de Matemática, Universidade Estadual de Maringá, 87020-900 Maringá, PR, Brazil
2001en
ABI
Аннотация
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.
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