Kavli Affiliate: Yi Zhou
| First 5 Authors: Sheng Wang, Yi Zhou, , ,
| Summary:
In this article, we prove the global well-posedness in the critical Sobolev
space $H_{rad}^2left(mathbb{R}^2right) times H_{rad}^1
left(mathbb{R}^2right)$ for the radial time-like extremal hypersurface
equation in $left(1+3right)$- dimensional Minkowski space-time. This is
achieved by deriving a new div-curl type lemma and combined it with energy and
“momentum" balance law to get some space-time estimates of the nonlinearity.
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