We show that the jump set of the solution of the minimizing Total Variation flow decreases with time for any initial condition in . We prove that the size of the jump also decreases with time.
Cite this article
Vicent Caselles, Khalid Jalalzai, Matteo Novaga, On the Jump set of Solutions of the Total Variation Flow. Rend. Sem. Mat. Univ. Padova 130 (2013), pp. 155–168DOI 10.4171/RSMUP/130-5