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Radial Symmetry of Self-Similar Solutions for Semilinear Heat Equations

✍ Scribed by Yūki Naito; Takashi Suzuki

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
167 KB
Volume
163
Category
Article
ISSN
0022-0396

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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