3 citations · 7 across the 4 of their papers we have counts for
4 papers
Pinched hypersurfaces contract to round points
Martin Franzen
We investigate the evolution of closed strictly convex hypersurfaces in , n=3, for contracting normal velocities, including powers of the mean curvature, of the n…
When maximum-principle functions cease to exist
Martin Franzen
We consider geometric flow equations for contracting and expanding normal velocities, including powers of the Gauss curvature, of the mean curvature, and of the norm of the second…
On maximum-principle functions for flows by powers of the Gauss curvature
Martin Franzen
We consider flows with normal velocities equal to powers strictly larger than one of the Gauss curvature. Under such flows closed strictly convex surfaces converge to points. In hi…
Entire Graphs Evolving by Powers of the Mean Curvature
Martin Franzen
We study convex entire graphs evolving with normal velocity equal to a positive power of the mean curvature. Under mild assumptions we prove longtime existence.