一类退化反应扩散方程组解的整体存在  

Global existence for a degenerate reaction-diffusion system

作　　者：樊彩虹[1] 容跃堂[1] 

机构地区：[1]西安工程大学理学院,陕西西安710048

出　　处：《纺织高校基础科学学报》2008年第2期188-191,共4页Basic Sciences Journal of Textile Universities

摘　　要：研究了一类具有齐次Dirichlet边界条件和带有非局部反应项的退化抛物方程组解的性质.用正则化的方法证明了局部解的存在惟一性,用上下解方法得到了解整体存在的充分条件.The properties of solutions for a degenerate reaction-diffusion system with null Dirichlet boundary conditions and nonlocal sources were investigated. The existence and uniqueness of local solution were proved by using regularization method, the sufficient conditions for the existence of global solution are obtained by upper and lower solutions.

关 键 词：非局部源 退化抛物型方程组 整体存在 

分 类 号：O175.29[理学—数学]