Abstract
We prove the global existence and uniqueness of wave maps onexpanding universes of dimension three or four, that is Robertson–Walkerspacetimes whose inverse radius is integrable with respect to the cosmictime. A result is obtained for small initial data by using the first andsecond energy estimates.
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Andersson, L., Private communication.
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Choquet-Bruhat, Y. Global Wave Maps on Robertson–Walker Spacetimes. Nonlinear Dynamics 22, 39–47 (2000). https://doi.org/10.1023/A:1008313208204
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DOI: https://doi.org/10.1023/A:1008313208204