Title: Hyperbolic inverse mean curvature flow,
Abstract: In this paper, we prove the short-time existence of hyperbolic inverse (mean)
curvature flow (with or without the specified forcing term) under the
assumption that the initial compact smooth hypersurface of $\mathbb{R}^{n+1}$
($n\geqslant2$) is mean convex and star-shaped. Several interesting examples
and some hyperbolic evolution equations for geometric quantities of the
evolving hypersurfaces have been shown. Besides, under different assumptions
for the initial velocity, we can get the expansion and the convergence results
of a hyperbolic inverse mean curvature flow in the plane $\mathbb{R}^2$, whose
evolving curves move normally.