Abstract
In this paper we prove some multilinear Strichartz estimates for solutions to the linear Schrödinger equation on the torus 𝕋n. Then we apply them to get some well-posedness results for the periodic nonlinear Schrödinger equation in critical Hs(𝕋n) spaces.
| Original language | English |
|---|---|
| Pages (from-to) | 1691-1703 |
| Number of pages | 13 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 45 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 30 May 2013 |
Keywords
- Critical spaces
- Global well-posedness
- Multilinear Strichartz estimates
- Periodic NLS
ASJC Scopus subject areas
- Analysis
- Computational Mathematics
- Applied Mathematics
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