Regularity theorems for a biological network formulation model in two space dimensions

2016/12/13 by Xu, Xiangsheng · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1612.04738

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.

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