Asymptotic stability of large energy harmonic maps under the wave map from 2D hyperbolic spaces to 2D hyperbolic spaces

Abstract

In this paper, we prove that the large energy harmonic maps from ${\mathbb{H}}^2$ to ${\mathbb{H}}^2$ are asymptotically stable under the wave map equation.

We improve the expressions, some improper notations are removed, grammer errors and typos are corrected, more background materials are involved