Regularity theorems for a biological network formulation model in two space dimensions
Analysis of PDEs
2017-06-05 v4
Abstract
We present several regularity results for a biological network formulation model originally introduced by D. Cai and D. Hu in {\it Phys. Rev. Lett.}, {\bf 111}(2013), 138701. A consequence of these result is that a stationary weak solution must be a classical one in two space dimensions. Our mathematical analysis is based upon the weakly monotone function theory and Hardy space methods.
Keywords
Cite
@article{arxiv.1612.04738,
title = {Regularity theorems for a biological network formulation model in two space dimensions},
author = {Xiangsheng Xu},
journal= {arXiv preprint arXiv:1612.04738},
year = {2017}
}