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Asymptotically self-similar blow-up of semilinear heat equations

✍ Scribed by Yoshikazu Giga; Robert V. Kohn


Publisher
John Wiley and Sons
Year
1985
Tongue
English
Weight
927 KB
Volume
38
Category
Article
ISSN
0010-3640

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## Abstract We estimate the blow‐up time for the reaction diffusion equation __u__~__t__~=Ξ”__u__+ Ξ»__f__(__u__), for the radial symmetric case, where __f__ is a positive, increasing and convex function growing fast enough at infinity. Here Ξ»>Ξ»^\*^, where Ξ»^\*^ is the β€˜extremal’ (critical) value for