We investigate the behavior of the solution u(x,t) of (e)u /(e)t= △um+up(x0,t) - kuq(x,t), x ∈Rn, t＞0,u(x,0) =ψ(x), x ∈ Rn,where ψ(x) ∈C2+a(Rn) , for some α∈ (0,1) ,p≥q＞0,p＞1 , 0＜m＜p,k≥0(0＜k＜1 if p=q＞1), and ψ is a positive bounded continuous function in R . The main result is that under certain conditions the solution blows up in finite time. Moreover, the blow-up rate is uniform in Rn.%本文讨论了一类柯西问题在一定条件下解的爆破性质,同时给出一致爆破速率估计.
展开▼
