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On global existence and scattering for the wave maps equation
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 123, Number 1, February 2001
- pp. 37-77
- 10.1353/ajm.2001.0005
- Article
- Additional Information
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Abstract
We prove global existence and scattering for the wave-maps equation in n + 1 dimensions, n = 2, 3, for initial data which is small in the scale-invariant homogeneous Besov space Ḃ2,1n/2 x Ḃ2,1n/2-1. This result was proved in an earlier paper by the author for n ≥ 4.
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