吉林大学学报（理学版）2012，Vol.50Issue(6)：1109-1114,6.
非局部边界抛物型方程组解的整体存在与爆破性质
Global Existence and Blow-up Properties for a Parabolic System with Nonlocal Boundaries
摘要
Abstract
The authors investigated the global existence and blow-up properties of nonnegative solutions for a class of nonlocal parabolic systems with nonlocal boundary conditions. With the help of the super- and sub-solution methods, the critical exponent of system was gained. And it's proved that if p=(p1+q1)...(pk+ qk)-1≤0 and 0 ≤ ∫Ωψi(x,y)dy< 1, every nonnegative solution is global,whereas if p>0, then the solution blows-up in finite time if the initial data is sufficiently large. Moveover, the exact rate of the blow-up is obtained. The results show that the size of initial values and exponents play an important role in the properties of the solutions.关键词
抛物系统/整体存在/爆破/爆破率Key words
parabolic system/ global existence/ blow-up/ blow-up rate分类
数理科学引用本文复制引用
凌征球,王泽佳,杜润梅..非局部边界抛物型方程组解的整体存在与爆破性质[J].吉林大学学报（理学版）,2012,50(6):1109-1114,6.基金项目
国家自然科学基金(批准号:11071100)、广西自然科学基金(批准号:2011jjA10044)和吉林大学研究生创新基金(批准号:20121031). （批准号:11071100）
