Various behaviors of solutions for a semilinear heat equation after blowup
Various behaviors of solutions for a semilinear heat equation after blowup
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DOI：
10.1016/j.jfa.2004.07.004
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发表时间：
2005-03
影响因子：
1.7
通讯作者：
N. Mizoguchi
中科院分区：
文献类型：
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作者：
N. Mizoguchi
本文讨论半线性热方程的柯西问题，证明了如果p>；N-2N-1N-4-2N-1和N⩾11，则(P)存在一个解UI(i=1，2，3)，它在t=Ti<；+∞处爆破，成为所有t>；Tii的正则解，并且表现如下：其中|·|∞表示RN中的上确界范数.
The present paper is concerned with a Cauchy problem for a semilinear heat equation We show that if p>N-2N-1N-4-2N-1 and N⩾11, then there exists a solution ui(i=1,2,3) of (P) which blows up at t=Ti<+∞, becomes a regular solution for all t>Tiand behaves as follows:where |·|∞denotes the supremum norm in RN.