Existence of functions of fixed trace and minimum weighted total variation
Optimization and Control
2012-08-30 v2 Analysis of PDEs
Abstract
For \Omega a C^{2}-smooth domain, and a positive bounded continuous map a \in C(\Omega), we prove existence of a minimizer of the functional u \mapsto $\int_{\Omega} a|Du| over the space BV(\Omega) of functions of bounded variation with fixed trace f \in L^{1}(\partial\Omega). The method of proof is constructive.
Keywords
Cite
@article{arxiv.1206.1509,
title = {Existence of functions of fixed trace and minimum weighted total variation},
author = {Gregory Spradlin and Alexandru Tamasan},
journal= {arXiv preprint arXiv:1206.1509},
year = {2012}
}
Comments
this paper has been withdrawn by the author due to a crucial error