On Schrödinger maps
✍ Scribed by Bejenaru, Ioan (author)
- Book ID
- 118225195
- Publisher
- John Hopkins University Press
- Year
- 2008
- Tongue
- English
- Weight
- 551 KB
- Volume
- 130
- Category
- Article
- ISSN
- 0002-9327
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📜 SIMILAR VOLUMES
We study the well-posedness of the Cauchy problem for Schrödinger maps from R m × R into a compact Riemann surface N. The idea is to find an appropriate frame for u -1 T N so that the derivatives will satisfy a certain class of nonlinear Schrödinger equations; then the Strichartz estimates can be ap
## Abstract For the Schrödinger flow from ℝ^2^ × ℝ^+^ to the 2‐sphere 𝕊^2^, it is not known if finite energy solutions can blow up in finite time. We study equivariant solutions whose energy is near the energy of the family of equivariant harmonic maps. We prove that such solutions remain close to