Asymptotic blow-up behavior for a nonlocal degenerate parabolic equation
Asymptotic blow-up behavior for a nonlocal degenerate parabolic equation
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非局部简并抛物线方程的渐近爆炸行为
DOI：
10.1016/j.jmaa.2006.08.014
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发表时间：
2007-06-15
影响因子：
1.3
通讯作者：
Gao, Hongjun
中科院分区：
文献类型：
--
作者：
Chen, Yujuan;Gao, Hongjun
在Dirichlet边界条件下，研究了非线性退化方程u(t) = f(u)（u + a (x)积分u dx）的正解。得到了爆破标准。进一步证明了在一定条件下，解具有全局爆破性。当f (u) = u(p)时，0 < p
In this paper, we investigate the positive solution of nonlinear degenerate equation u(t) = f(u)(Delta u + a (x) integral(Omega) u dx) with Dirichlet boundary condition. The blow-up criteria is obtained. Furthermore, we prove that under certain conditions, the solutions have global blow-up. When f (u) = u(p), 0 < p