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Some stability estimates for a heat source in terms of overspecified data in the 3-D heat equation

✍ Scribed by J.R. Cannon; Salvador Pérez-Esteva


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
302 KB
Volume
147
Category
Article
ISSN
0022-247X

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