Asymptotic stability of harmonic maps between 2D hyperbolic spaces under the wave map equation. II. Small energy case

Ze Li, Xiao Ma, Lifeng Zhao

In this paper, we prove that the small energy harmonic maps from ${\mathbb{H}}^2$ to ${\mathbb{H}}^2$ are asymptotically stable under the wave map equation in the subcritical perturbation clas…