Immediate Regularization after Blow-up
Марек Фила, Hiroshi Matano, Peter Poláčik · SIAM Journal on Mathematical Analysis · 2005
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.