We study the forced mean curvature flow of graphs in Minkowski space and prove longtime existence of solutions. When the forcing term is a constant, we prove convergence to either a constant mean curvature hypersurface or a translating soliton – depending on the boundary conditions at infinity.
|Number of pages||42|
|Journal||Calculus of Variations and Partial Differential Equations|
|Publication status||Published - Feb 2006|
- Mean curvature flow
- Constant mean curvature hypersurfaces