Least gradient problem with Dirichlet condition imposed on a part of the boundary
Analysis of PDEs
2020-09-10 v1
Abstract
We provide an analysis of the least gradient problem in the case when the boundary datum is only imposed on a part of the boundary. First, we give a characterisation of solutions in a general setting using convex duality theory. Then, we discuss the way in which solutions attain their boundary values, structure of solutions and their regularity.
Keywords
Cite
@article{arxiv.2009.04048,
title = {Least gradient problem with Dirichlet condition imposed on a part of the boundary},
author = {Wojciech Górny},
journal= {arXiv preprint arXiv:2009.04048},
year = {2020}
}
Comments
22 pages, 4 figures