Submitted Paper
Inserted: 16 jul 2021
Last Updated: 17 jul 2021
Pages: 25
Year: 2021
Abstract:
We study the regularity of solutions to a nonlocal version of the image denoising model and we show that, in two dimensions, minimizers have the same Holder regularity as the original image. More precisely, if the datum is (locally) $\beta$-Hölder continuous for some $\beta\in(1-s,\,1]$, where $s\in (0,1)$ is a parameter related to the nonlocal operator, we prove that the solution is also $\beta$-Hölder continuous.
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