The profile near blowup time for solution of the heat equation with a nonlinear boundary condition
The profile near blowup time for solution of the heat equation with a nonlinear boundary condition
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DOI：
10.1090/s0002-9947-1994-1270664-3
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发表时间：
1994
影响因子：
1.3
通讯作者：
Bei Hu;H. Yin
中科院分区：
文献类型：
--
作者：
Bei Hu;H. Yin
本文研究了在 Oi x [0, T) 上具有非线性边界条件 un = uP 的热方程 ut = Au 的爆破时间附近的爆破曲线。在某些假设下，确定了准确的爆炸速率。也证明域内部不会发生爆炸。还研究了爆炸点附近的渐近行为。
This paper studies the blowup profile near the blowup time for the heat equation ut = Au with the nonlinear boundary condition un = uP on Oi x [0, T). Under certain assumptions, the exact rate of the blowup is established. It is also proved that the blowup will not occur in the interior of the domain. The asymptotic behavior near the blowup point is also studied.