On critical Fujita exponents for the porous medium equation with a nonlinear boundary condition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

On critical Fujita exponents for the porous medium equation with a nonlinear boundary condition

Authors:	Wenmei Huang Yifu Wang

Affiliation:	^a Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China ^b Department of Mathematics, Jilin University, Changchun, Jilin 130012, China

Abstract:	We establish the critical Fujita exponents for the solution of the porous medium equation u_t=Δu^m, x∈R₊^N, t>0, subject to the nonlinear boundary condition −∂u^m/∂x₁=u^p, x₁=0, t>0, in multi-dimension.

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