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Unique global existence and asymptotic behaviour of solutions for wave equations with non-coercive critical nonlinearity

โœ Scribed by Nakanishi, Kenji

Book ID
120952049
Publisher
Taylor and Francis Group
Year
1999
Tongue
English
Weight
867 KB
Volume
24
Category
Article
ISSN
0360-5302

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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
โœ Kosuke Ono ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 178 KB ๐Ÿ‘ 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).