Global well-posedness for radial extremal hypersurface equation in $left(1+3 right)$-dimensional Minkowski space-time in critical Sobolev space

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 […]


Continue.. Global well-posedness for radial extremal hypersurface equation in $left(1+3 right)$-dimensional Minkowski space-time in critical Sobolev space