This article contains an analysis of the cubic nonlinear Schrödinger equation and solutions that become singular in finite time. Numerical simulations show that in three dimensions the blowup is self-similar and symmetric. In two dimensions, the blowup still appears to be symmetric but is no longer
✦ LIBER ✦
The Brezis–Nirenberg problem near criticality in dimension 3
✍ Scribed by Manuel del Pino; Jean Dolbeault; Monica Musso
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 377 KB
- Volume
- 83
- Category
- Article
- ISSN
- 0021-7824
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