带非局部源的退化奇异抛物方程组的爆破  

Blow-up properties for a degenerate and singular parabolic system with nonlocal sources

作　　者：魏云峰[1] 

机构地区：[1]南京审计学院金审学院,江苏南京210029

出　　处：《阜阳师范学院学报（自然科学版）》2010年第3期18-22,共5页Journal of Fuyang Normal University(Natural Science)

摘　　要：研究了带有齐次Dirichlet边界条件的非线性非局部源的退化奇异抛物型方程组解的爆破性质,建立了古典解的局部存在性。在适当的假设条件下,得出了正解的整体存在与有限时刻爆破的结论。Dealing with blow-up properties for a degenerate and singular parabolic system with nonlinear nonlocal sources subject to the homogeneous Dirichlet boundary conditions.The local existence of classical solution is established.Under appropriate hypotheses,the global existence and the finite time blow-up of positive solutions are obtained.

关 键 词：退化奇异抛物方程组 非局部源 整体存在 有限时刻爆破 

分 类 号：O175.26[理学—数学]