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...

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Bibliographic Details
Main Authors: Lawrie, Andrew, Oh, Sung-Jin, Shahshahani, Sohrab
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Oxford University Press (OUP) 2020
Online Access:https://hdl.handle.net/1721.1/124885