Concepedia

General decay for quasilinear viscoelastic equations with nonlinear weak damping

Jong Yeoul Park, Sun Hye Park

Journal of Mathematical Physics · 2009 · 64 citations · 16 references

DOI

Concepts

Abstract

In this paper, we investigate general decay rates of solutions for a quasilinear viscoelastic equation with nonlinear weak damping.

References

16

Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping

Irena Lasiecka, Daniel Tataru · Differential and Integral Equations · 1993 · 582 citations

, , +15

Frictional versus Viscoelastic Damping in a Semilinear Wave Equation

Marcelo M. Cavalcanti, Higidio Portillo Oquendo · SIAM Journal on Control and Optimization · 2003 · 399 citations

, , +13

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

Marcelo M. Cavalcanti, V. N. Domingos Cavalcanti, Jorge Ferreira · Mathematical Methods in the Applied Sciences · 2001 · 304 citations

, , +12

General decay of solutions of a viscoelastic equation

Salim A. Messaoudi · Journal of Mathematical Analysis and Applications · 2007 · 280 citations

, , +13

Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping–source interaction

Marcelo M. Cavalcanti, V. N. Domingos Cavalcanti, Irena Lasiecka · Journal of Differential Equations · 2007 · 268 citations

, , +16