一类具有非局部源的退化抛物方程组解的整体存在和有限爆破

Global Existence and Blow-up for a Degenerate Parabolic System with Nolocal Source

讨论了一类具有非局部源的退化抛物方程组:u1=vp2(△u+bum2∫Ωvq2 dx),vt=up2(△v+bvm2∫Ωuq2 dx)在Diriclet边界条件下解的爆破现象.通过运用比较原理和上、下解方法,建立了该方程组解的整体存在和有限爆破的充分条件.

The blow-up phenomenon for a nonlocal degenerate system u1=vp2（△u＋bum2∫Ωvq2dx）,vt=up2（△v＋bvm2∫Ωuq2dx）,with Dirichlet boundary condition is considered.By comparison theorem and the upper-lower solution method,the sufficient conditions for the global existence and the finite time blow-up of solution to the system are established.