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The almost global and global existence for quasi-linear wave equations with multiple-propagation speeds in high dimensions

✍ Scribed by Yi Du; Zheng An Yao

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2011
Tongue
English
Weight
263 KB
Volume
27
Category
Article
ISSN
1439-7617

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Global existence, asymptotic behaviour,
Global existence, asymptotic behaviour, and global non-existence of solutions for damped non-linear wave equations of Kirchhoff type in the whole space
✍ Kosuke Ono πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 178 KB πŸ‘ 2 views

We study the global existence, asymptotic behaviour, and global non-existence (blow-up) of solutions for the damped non-linear wave equation of Kirchho! type in the whole space: , and '0, with initial data u(x, 0)"u (x) and u R (x, 0)"u (x).