loading page

Finite time blow-up for the heat flow of H-surface with constant mean curvature
  • Haixia Li
Haixia Li
School of Mathematics, Changchun Normal University

Corresponding Author:[email protected]

Author Profile


In this paper, the authors consider an initial boundary value problem for the heat flow of equation of surfaces with constant mean curvatures, which was investigated in [On the heat flow of equation of surfaces of constant mean curvatures, Manuscripta Mathematica, 2011, 134: 259-271] by Huang et al., where global well-posedness and finite time blow-up of regular solutions were obtained. Their results are complemented in this paper in the sense that some new conditions on the initial data are provided for the solutions to develop finite time singularity.
2021Published in Annales Polonici Mathematici volume 127 issue 3 on pages 233-239. 10.4064/ap210403-26-7