Regional blow-up of solutions to the initial boundary value problem for ut = uδ(Δu + u)
Regional blow-up of solutions to the initial boundary value problem for ut = uδ(Δu + u)
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ut = uδ(Δu + u) 的初始边值问题的解的区域爆炸
DOI：
10.1017/s030821050002388x
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发表时间：
1997
期刊：
影响因子：
--
通讯作者：
T. Ishiwata
中科院分区：
文献类型：
--
作者：
M. Tsutsumi;T. Ishiwata
研究了一类退化抛物型方程初边值问题的非负解。证明了解在有限时间内是局部爆破的。对于径向对称的情况，放大集的大小是确定的。
Non-negative solutions of the initial boundary value problem for a degenerate parabolic equation are investigated. It is shown that solutions blow up regionally in finite tine. The size of blow-up sets is determined for radially symmetric cases.