General decay and blow-up of solutions for a viscoelastic equation with nonlinear boundary damping-source interactions
β Scribed by Shun-Tang Wu
- Book ID
- 105767350
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 485 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0044-2275
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π SIMILAR VOLUMES
In this paper we consider a quasilinear viscoelastic wave equation in canonical form with the homogeneous Dirichlet boundary condition. We prove that, for certain class of relaxation functions and certain initial data in the stable set, the decay rate of the solution energy is similar to that of the
## Abstract In this paper we investigate the global existence and finite time blowβup of solutions to the nonlinear viscoelastic equation associated with initial and Dirichlet boundary conditions. Here β__j__ denote the subβdifferential of __j__. Under suitable assumptions on __g__(Β·), __j__(Β·) an
## 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 Β© 2008 John Wiley & Sons, Ltd.