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Some Aspects of the Asymptotic Behavior of the Solutions of the Semilinear Heat Equation in Vanishing Time and Approximate Controllability

✍ Scribed by A.Y. Khapalov

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
980 KB
Volume
194
Category
Article
ISSN
0022-247X

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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