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Blowup rate of positive solution of a semilinear parabolic system

โœ Scribed by Zhigui Lin; Chunhong Xie


Book ID
105641666
Publisher
Springer
Year
1998
Tongue
English
Weight
199 KB
Volume
43
Category
Article
ISSN
1001-6538

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Critical Exponents for the Blowup of Sol
โœ Noriko Mizoguchi; Eiji Yanagida ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 353 KB

The blowup of solutions of the Cauchy problem { u t =u xx + |u| p&1 u u(x, 0)=u 0 (x) in R\\_(0, ), in R is studied. Let 4 k be the set of functions on R which change sign k times. It is shown that for p k =1+2ร‚(k+1), k=0, 1, 2, ... , any solution with u 0 # 4 k blows up in finite time if 1 p k . T