Abstract By the characteristic method, a new geometric flow-the hyperbolic gradient flow was studied. The necessary and sufficient conditions for the global existence of smooth solution were given. The uniqueness and decay estimates of solution were also discussed.
LUO Shao-ying. Global existence of smooth solutions to hyperbolic gradient flows on Riemannian manifolds. Applied Mathematics A Journal of Chinese Universities, 2015, 30(2): 217-222.
