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Mathematics > Analysis of PDEs

arXiv:1804.01319 (math)
[Submitted on 4 Apr 2018]

Title:On the local boundedness of generalized minimizers of variational problems with linear growth

Authors:Michael Bildhauer, Martin Fuchs, Jan Mueller, Xiao Zhong
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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.
Subjects: Analysis of PDEs (math.AP)
MSC classes: 49N60, 49Q20, 49J45
Cite as: arXiv:1804.01319 [math.AP]
  (or arXiv:1804.01319v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1804.01319
Journal reference: Annali di Matematica Pura ed Applicata (1923 -), pp 1-13
Related DOI: https://doi.org/10.1007/s10231-017-0716-6

Submission history

From: Jan Mueller [view email]
[v1] Wed, 4 Apr 2018 09:39:44 UTC (14 KB)
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