Abstract
We extend the results of Lebeau (2005) and Christ et al. (2007) to more general H1-supercritical nonlinearities. We also extend those results to the 2D case for exponentially growing nonlinearities. The proof uses the finite speed of propagation and a quantitative study of the associated O.D.E. It does not require any scaling invariance of the equation. To cite this article: S. Ibrahim et al., C. R. Acad. Sci. Paris, Ser. I 345 (2007).
Original language | English (US) |
---|---|
Pages (from-to) | 133-138 |
Number of pages | 6 |
Journal | Comptes Rendus Mathematique |
Volume | 345 |
Issue number | 3 |
DOIs | |
State | Published - Aug 1 2007 |
ASJC Scopus subject areas
- General Mathematics