A Nonlinear Diffusion System with Coupled Nonlinear Boundary Flux

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Critical exponents nonlinear diffusion inner absorptions nonlinear boundary flux blow-up global solutions characteristic algebraic system
• 年，卷（期）: 2009,（1）
• 页码范围: 11-31
• 页数: 21页
• 分类号: O175.29|O175.26
• 语种: 英文

摘要

This paper studies a nonlinear diffusion system with coupled nonlinear boundary flux and two kinds of inner sources (positive for the first and negative for the second), where the four nonlinear mechanisms are described by eight nonlinear parameters. The critical exponent of the system is determined by a complete classi-fication of the eight nonlinear parameters, which is represented via the characteristic algebraic system introduced to the problem.