Critical exponents and blow-up rate for a nonlinear diffusion equation with logarithmic boundary flux期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Critical exponents and blow-up rate for a nonlinear diffusion equation with logarithmic boundary flux

Authors:	Zhongping Li Chunlai Mu

Institution:	^a College of Mathematics and Physics, Chongqing University, Chongqing, 400044, PR China ^b College of Mathematics and Information, China West Normal University, Nanchong 637002, PR China

Abstract:	In this paper, we establish the critical global existence exponent and the critical Fujita exponent for the nonlinear diffusion equation u_t=(log^σ(1+u)u_x)_x, in R₊×(0,+∞), subject to a logarithmic boundary flux , furthermore give the blow-up rate for the nonglobal solutions.

Keywords:	35B33 35K20 35K57
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