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Global existence in the future and boundedness of submanifolds of solutions of a scalar comparison equation

โœ Scribed by Giancarlo Cantarelli


Book ID
112908284
Publisher
Springer Milan
Year
1995
Tongue
Italian
Weight
473 KB
Volume
44
Category
Article
ISSN
0009-725X

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Existence and non-existence of global so
โœ Azmy S. Ackleh; Keng Deng ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 87 KB ๐Ÿ‘ 1 views

## Abstract We study the initial value problem where $ \|u(\cdot,t)\| = \int \nolimits ^ {\infty} \_ {- \infty}\varphi(x) | u( x,t ) | {\rm{ d }} x$ with ฯ†(__x__)โฉพ0 and $ \int \nolimits^{\infty} \_ {-\infty} \varphi (x) \, {\rm{d}}x\,= 1$. We show that solutions exist globally for 0<__p__โฉฝ1, while