Abstract
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.
Original language | English (US) |
---|---|
Pages (from-to) | 752-776 |
Number of pages | 25 |
Journal | SIAM Journal on Mathematical Analysis |
Volume | 37 |
Issue number | 3 |
DOIs | |
State | Published - May 22 2006 |
Keywords
- Blow up
- Nonlinear heat equation
- Regularity