Existence and uniform decay for a non-linear viscoelastic equation with strong damping

Mathematical Methods in the Applied Sciences

Volumn 24, Issue 14, 2001, Pages 1043-1053

  Cavalcanti, M M ^a   Cavalcanti, V N Domingos ^a   Ferreira, J ^a  

^a STATE UNIVERSITY OF MARINGÁ   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CONVERGENCE OF NUMERICAL METHODS; DAMPING; DIFFERENTIATION (CALCULUS); INTEGRAL EQUATIONS; PERTURBATION TECHNIQUES; THEOREM PROVING; VISCOELASTICITY;

EXPONENTIAL DECAYS; GLOBAL EXISTENCE OF SOLUTIONS; PERTURBED ENERGY METHOD; RELAXATION FUNCTIONS; UNIFORM DECAY;

NONLINEAR EQUATIONS;

EID: 0035949395     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/mma.250     Document Type: Article

References (11)

1. On a hyperbolic degenerate evolution equation with strong dissipation
2. On global weak solutions of a nonlinear evolution equation in noncylindrical domain
3. Asymptotic energy estimates for Kirchhoff plates subject to weak viscoelastic damping
4. Decay rates for viscoelastic plates with memory
5. Existence and uniform decay rates for viscoelastic problems with non-linear boundary damping
6. Asymptotic stability and energy decay rates for solutions of the wave equation with memory in a star-shaped domain
7. Stability and decay for a class of nonlinear hyperbolic problems
8. Global solutions on a quasilinear wave equation with memory