𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Global existence and blow-up phenomena for a nonlinear wave equation

✍ Scribed by Jianghao Hao; Yajing Zhang; Shengjia Li


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
543 KB
Volume
71
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Blow up and global existence in a nonlin
✍ Salim A. Messaoudi πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 133 KB πŸ‘ 1 views

## 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

Global existence and blow-up of solution
✍ Xiaosen Han; Mingxin Wang πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 145 KB πŸ‘ 1 views

## Abstract In this paper we investigate the global existence and finite time blow‐up of solutions to the nonlinear viscoelastic equation associated with initial and Dirichlet boundary conditions. Here βˆ‚__j__ denote the sub‐differential of __j__. Under suitable assumptions on __g__(Β·), __j__(Β·) an

Global existence, blow up and asymptotic
✍ Xu Runzhang πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 203 KB

## Abstract We study the Cauchy problem of nonlinear Klein–Gordon equation with dissipative term. By introducing a family of potential wells, we derive the invariant sets and prove the global existence, finite time blow up as well as the asymptotic behaviour of solutions. In particular, we show a s