214 citations · 485 across the 38 of their papers we have counts for
22 papers · 1 filter
Short-time existence for the Schouten flow
Giovanni Catino, Carlo Mantegazza
Let be a closed smooth Riemannian manifold, with . We prove short--time existence and uniqueness for the "critical" {\em Ricci--Bourguignon flow} \begin{e…
Uniform Sobolev, interpolation and geometric Calderón-Zygmund inequalities for graph hypersurfaces
Serena Della Corte, Antonia Diana, Carlo Mantegazza
In this note, our aim is to show that families of smooth hypersurfaces of which are all --close enough to a fixed compact, embedded one, have uniformly bound…
Type-0 singularities in the network flow -- Evolution of trees
Carlo Mantegazza, Matteo Novaga, Alessandra Pluda
The motion by curvature of networks is the generalization to finite union of curves of the curve shortening flow. This evolution has several peculiar features, mainly due to the pr…
Asymptotic convergence of evolving hypersurfaces
Carlo Mantegazza, Marco Pozzetta
If is a smooth immersed closed hypersurface, we consider the functional , where is a local unit…
Lectures on curvature flow of networks
Carlo MAntegazza, Matteo Novaga, Alessandra Pluda
We present a collection of results on the evolution by curvature of networks of planar curves. We discuss in particular the existence of a solution and the analysis of singularitie…
Evolution of networks with multiple junctions
Carlo Mantegazza, Matteo Novaga, Alessandra Pluda +1
We consider the motion by curvature of a network of curves in the plane and we discuss existence, uniqueness, singularity formation and asymptotic behavior of the flow.