On the local boundedness of generalized minimizers of variational problems with linear growth
Analysis of PDEs
2018-04-05 v1
Abstract
We prove local boundedness of generalized solutions to a large class of variational problems of linear growth including boundary value problems of minimal surface type and models from image analysis related to the procedure of TV-regularization occurring in connection with the denoising of images, which might even be coupled with an inpainting process. Our main argument relies on a Moser-type iteration procedure.
Keywords
Cite
@article{arxiv.1804.01319,
title = {On the local boundedness of generalized minimizers of variational problems with linear growth},
author = {Michael Bildhauer and Martin Fuchs and Jan Mueller and Xiao Zhong},
journal= {arXiv preprint arXiv:1804.01319},
year = {2018}
}