一类带有非局部源的退化反应扩散方程组解的整体存在与爆破  

Blow-up and global existence for a degenerate reaction-diffusion system with nonlocal sources

作　　者：容跃堂[1] 樊彩虹[1] 

机构地区：[1]西安工程大学理学院,陕西西安710048

出　　处：《纯粹数学与应用数学》2009年第1期39-46,共8页Pure and Applied Mathematics

基　　金：国家自然科学基金(10671155).

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唯一性,用上下解方法,得到了解的全局存在与爆破的充分条件.The properties of solutions for a degenerate reaction-diffusion system with null Dirichlet boundary conditions and nonlocal sources are investigated in this paper. The existence and uniqueness of local solution are proved by using regularization method,moreover the sufficient conditions for the existence of global solution and the blow up of the solution are obtained by upper and lower solutions.

关 键 词：非局部源 退化抛物型方程组 全局存在 爆破 

分 类 号：O178[理学—数学]