✦ LIBER ✦
A Liouville theorem and blowup behavior for a vector-valued nonlinear heat equation with no gradient structure
✍ Scribed by Hatem Zaag
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 178 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
✦ Synopsis
We prove a Liouville theorem for the following heat system whose nonlinearity has no gradient structure:
where pq > 1, p ≥ 1, q ≥ 1, and | p -q| small. We then deduce a localization property and uniform L ∞ estimates of blowup solutions of this system.