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Global existence and uniform decay for a nonlinear viscoelastic equation with damping. (English) Zbl 1173.35579

Summary: We investigate a nonlinear viscoelastic equation with linear damping. Global existence of weak solutions and the uniform decay estimates for the energy have been established.

MSC:

35L35 Initial-boundary value problems for higher-order hyperbolic equations
45K05 Integro-partial differential equations
35L90 Abstract hyperbolic equations
74Dxx Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)
35B40 Asymptotic behavior of solutions to PDEs
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