Immediate Regularization after Blow-up
Immediate Regularization after Blow-up
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DOI：
10.1137/040613299
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发表时间：
2005-02
期刊：
影响因子：
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通讯作者：
M. Fila;H. Matano;P. Polácik
中科院分区：
文献类型：
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作者：
M. Fila;H. Matano;P. Polácik
研究了一类超临界抛物型方程的解在有限时间内爆破，但在弱意义下整体存在。我们证明了极小延拓在爆破时刻之后立即变成正则的，如果它再次爆破，它只能这样做很多次。
We study solutions of some supercritical parabolic equations which blow up in finite time but continue to exist globally in the weak sense. We show that the minimal continuation becomes regular immediately after the blow up time, and if it blows up again, it can only do so finitely many times.