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Identifiability, in the large, of a nonlinear heat-conduction equation and self-similar solutions

โœ Scribed by M. R. Romanovskii


Publisher
Springer US
Year
1983
Tongue
English
Weight
429 KB
Volume
45
Category
Article
ISSN
1573-871X

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๐Ÿ“œ SIMILAR VOLUMES


Regular self-similar solutions of the no
โœ Philippe Souplet; Fred B Weissler ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 190 KB

We prove the existence of positive regular solutions of the Cauchy problem for the nonlinear heat equation u t = u + |u| ฮฑ u, with initial value ยตV , for all ยต > 1 close enough to 1, where V is the singular stationary solution in R N . This result is obtained when N > 2 and 2 N-2 < ฮฑ < ฮฑ \* , where