Calculus of Variations and Geometric Measure Theory

C. Mantegazza - M. Novaga - A. Pluda

Lectures on Curvature Flow of Networks

created by novaga on 05 Jan 2018
modified on 14 Jul 2019


Lecture Notes

Inserted: 5 jan 2018
Last Updated: 14 jul 2019

Journal: Springer INdAM Series
Volume: 33
Pages: 369-417
Year: 2019

These are notes of a course given at the INdAM Intensive Period "Contemporary Research in elliptic PDEs and related topics", organized by Serena Dipierro at the University of Bari, from April to June 2017.


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 singularities.