English

Continuity results for TV-minimizers

Functional Analysis 2017-04-14 v2 Analysis of PDEs Differential Geometry

Abstract

This paper deals with continuity preservation when minimizing generalized total variation with a L2L^2 fidelity term or a Dirichlet boundary condition. We extend several recent results in the two cases, mainly by showing comparison principles for the prescribed mean curvature problem satisfied by the level-sets of such minimizers.

Keywords

Cite

@article{arxiv.1605.09655,
  title  = {Continuity results for TV-minimizers},
  author = {Gwenael Mercier},
  journal= {arXiv preprint arXiv:1605.09655},
  year   = {2017}
}

Comments

To appear in Indiana University Mathematics Journal

R2 v1 2026-06-22T14:13:53.366Z