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

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  • We present several regularity results for a biological network formulation model originally introduced by D. Cai and D. Hu [13]. A consequence of these results 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.

    Mathematics Subject Classification: Primary: 35D30, 35Q99; Secondary: 35A01.

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