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 an...

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Bibliographic Details
Main Authors: Lawrie, Andrew (Author), Oh, Sung-Jin (Author), Shahshahani, Sohrab (Author)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Oxford University Press (OUP), 2020-04-27T17:47:37Z.
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