一类非局部边值条件抛物型方程组解的性质  

A Nonlinear Parabolic System with Nonlocal Boundary Conditions

作　　者：吴春晨[1] 

机构地区：[1]福州大学至诚学院,福建福州350002

出　　处：《江南大学学报（自然科学版）》2015年第2期222-225,共4页Joural of Jiangnan University (Natural Science Edition)　

基　　金：福建省自然科学基金项目(Z0511015);福建省教育厅A类科技项目(JA12374)

摘　　要：研究了一类具有3个方程的带局部源的非局部边值条件的非线性抛物型方程组解的爆破性质,通过构造上下解的方法,得到了方程组解的爆破性与整体存在性。In this paper,the property of blow-up of solutions for parabolic systems with nonlocal boundary conditions and nonlocal source is investigated,the system consists of 3 equations. By applying methods of constructing super-solutions and lower-solutions,the property of blow-up and global existence of the solution are obtained.

关 键 词：非局部边值条件 非线性抛物型方程组 爆破 

分 类 号：O175.2[理学—数学]