𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Local and Global Behaviour of Solutions to Nonlinear Equations with Natural Growth Terms

✍ Scribed by Benjamin J. Jaye; Igor E. Verbitsky

Book ID
113021308
Publisher
Springer
Year
2012
Tongue
English
Weight
570 KB
Volume
204
Category
Article
ISSN
0003-9527

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Global existence, blow up and asymptotic
Global existence, blow up and asymptotic behaviour of solutions for nonlinear Klein–Gordon equation with dissipative term
✍ 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

Global and blow-up solutions for a syste
Global and blow-up solutions for a system of nonlinear hyperbolic equations with dissipative terms
✍ Fuqin Sun; Mingxin Wang πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 224 KB

In this paper, we study a nonlinear hyperbolic system with strong damping. Firstly, by use of the successive approximation method and a series of classical estimates, we prove the local existence and uniqueness of weak solution. Secondly, via some inequalities, applying the potential method and the