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Global existence and global non-existence of solutions to a reaction-diffusion system

โœ Scribed by Sining Zheng

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
104 KB
Volume
39
Category
Article
ISSN
0362-546X

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## 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