Blow Up in a Nonlinearly Damped Wave Equation
β Scribed by Salim A. Messaoudi
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 125 KB
- Volume
- 231
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract In this paper the nonlinear viscoelastic wave equation associated with initial and Dirichlet boundary conditions is considered. Under suitable conditions on __g__, it is proved that any weak solution with negative initial energy blows up in finite time if __p__ > __m__. Also the case o
## For suitable and F, we prove that all classical solutions of the quasilinear wave equation RR !( ( V )) V "F(), with initial data of compact support, develop singularities in "nite time. The assumptions on and F include in particular the model case O>, for q\*2, and "$1. The starting point of
## 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