๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Rate of Type II blowup for a semilinear heat equation

โœ Scribed by Noriko Mizoguchi


Publisher
Springer
Year
2007
Tongue
English
Weight
896 KB
Volume
339
Category
Article
ISSN
0025-5831

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


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