In four spatial dimensions, small codimension-1 perturbations of catenoid initial data yield global HVMC solutions that converge modulo translation and boost to a boosted/translated catenoid with explicit decay rates.
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Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions
In four spatial dimensions, small codimension-1 perturbations of catenoid initial data yield global HVMC solutions that converge modulo translation and boost to a boosted/translated catenoid with explicit decay rates.