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On the Blow up Problem for Semilinear Heat Equations

โœ Scribed by Ayeni, R. O.


Book ID
118201552
Publisher
Society for Industrial and Applied Mathematics
Year
1983
Tongue
English
Weight
284 KB
Volume
14
Category
Article
ISSN
0036-1410

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On the regularity of the blow-up set for
โœ Hatem Zaag ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 293 KB

We consider u(x, t) a blow-up solution of u t = u + |u| p-1 u where u : R N ร— [0, T ) โ†’ R, p > 1, (N -2)p < N + 2 and either u(0) 0 or (3N -4)p < 3N + 8. The blow-up set S โŠ‚ R N of u is the set of all blow-up points. Under a nondegeneracy condition, we show that if S is continuous, then it is a C 1