Open AccessOn the Jump set of Solutions of the Total Variation Flow
Author(s) -
Vicent Caselles,
Khalid Jalalzai,
Matteo Novaga
Publication year - 2013
Publication title -
rendiconti del seminario matematico della università di padova
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 24
eISSN - 0373-319X
pISSN - 0041-8994
DOI - 10.4171/rsmup/130-5
Subject(s) - variation (astronomy) , jump , mathematics , set (abstract data type) , flow (mathematics) , computer science , physics , geometry , astrophysics , quantum mechanics , programming language
We show that the jump set of the solution of the minimizing Total Variation ow decreases with time for any initial condition in BV (Ω)∩L (Ω). We prove that the size of the jump also decreases with time.
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