Inserted: 7 apr 2009
Last Updated: 18 jan 2017
Journal: Rev. Mat. Iberoamericana
The main purpose of this paper is to prove a local Holder regularity result for the solutions of the total variation based denoising problem assuming that the datum is locally Holder continuous. We also prove a global estimate on the modulus of continuity of the solution in convex domains of $\mathbb R^N$ and some extensions of this result for the total variation minimization flow.