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General decay of energy for a viscoelastic equation with nonlinear damping

Xiaosen Han, Mingxin Wang

Mathematical Methods in the Applied Sciences · 2008 · 98 citations · 13 references

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Abstract

Abstract In this paper we are concerned with a nonlinear viscoelastic equation with nonlinear damping. The general uniform decay of the energy is obtained. Copyright © 2008 John Wiley & Sons, Ltd.

References

13

Frictional versus Viscoelastic Damping in a Semilinear Wave Equation

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

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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

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Existence and decay of solutions of a viscoelastic equation with a nonlinear source

Said Berrimi, Salim A. Messaoudi · Nonlinear Analysis · 2005 · 235 citations

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Blow up and global existence in a nonlinear viscoelastic wave equation

Salim A. Messaoudi · Mathematische Nachrichten · 2003 · 228 citations

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Exponential decay for the solution of semilinear viscoelastic wave equations with localized damping

Marcelo M. Cavalcanti, V. N. Domingos Cavalcanti, J.A. Soriano · DOAJ (DOAJ: Directory of Open Access Journals) · 2002 · 228 citations

, , +13