The Cauchy Problem for Wave Maps on Hyperbolic Space in Dimensions d≥ 4
We establish global well-posedness and scattering for wave maps from d-dimensional hyperbolic space into Riemannian manifolds of bounded geometry for initial data that is small in the critical Sobolev space for d ≥ 4. The main theorem is proved using the moving frame approach introduced by Shatah a...
Main Authors: | Lawrie, Andrew, Oh, Sung-Jin, Shahshahani, Sohrab |
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Other Authors: | Massachusetts Institute of Technology. Department of Mathematics |
Format: | Article |
Language: | English |
Published: |
Oxford University Press (OUP)
2020
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Online Access: | https://hdl.handle.net/1721.1/124885 |
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