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A Robin-Neumann Problem Arising from Tumor Angiogenesis

Volume 7, Number 1 (2016), 63 - 77

A Robin-Neumann Problem Arising from Tumor Angiogenesis

Communicated By: 
Enrique Zuazua
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Abstract

We consider a mixed boundary value problem for a nonlinear parabolic system in a bounded domain with boundary splits up into two disjoint smooth components. This system arises from modeling tumor angiogenesis with chemotaxis and flux at the boundary. By variational method and semigroup approach, we give sufficient conditions to ensure the existence of the solutions.