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The existence and decay of solutions of a damped Kirchhoff–Carrier equation in Banach spaces

✍ Scribed by R.R. Carvalho; M. Milla Miranda

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
417 KB
Volume
73
Category
Article
ISSN
0362-546X

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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 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 178 KB 👁 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).