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On the behavior of blow-up solutions to a parabolic problem with critical exponent

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成果类型:
期刊论文
作者:
Cheng, Ting;Lan, Haipeng;Yang, Jinmei;Zheng, Gao-Feng*
通讯作者:
Zheng, Gao-Feng
作者机构:
[Cheng, Ting; Yang, Jinmei; Zheng, Gao-Feng; Lan, Haipeng] Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
通讯机构:
[Zheng, Gao-Feng] C
Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
Parabolic problems;Critical exponent;Blow-up behavior
期刊:
Journal of Mathematical Analysis and Applications
ISSN:
0022-247X
年:
2013
卷:
402
期:
1
页码:
255-260
基金类别:
NSFCNational Natural Science Foundation of China (NSFC) [11171126]
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
The blow-up behavior of the solution to a semilinear equation with critical exponent {u(t) = Delta u + vertical bar u vertical bar(p-1)u in Omega x (0, T), u = 0 on partial derivative Omega x (0, T), u(., 0) = u0 on Omega is established. We obtain that if Omega is star-shaped about a is an element of Omega and n >= 3, p = n+2/n-2, then lim(t -> T)(T - t)(beta)u(a + y root T - t, t) exists and equals 0 or +/-kappa in L-loc(2) (R-n), where beta = 1/p-1, kapp...

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