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Harmonic maps

✍ Scribed by E.W. Grafarend

Publisher: Springer-Verlag
Year: 2005
Tongue: English
Weight: 615 KB
Volume: 78
Category: Article
ISSN: 1432-1394
DOI: 10.1007/s00190-004-0422-1

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## 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