Existence and uniqueness of global solutions for a mathematical model of antiangiogenesis in tumor growth

In this paper we study a mathematical model of antiangiogenesis in tumor growth. The model consists of three semi-linear parabolic PDEs. By applying the Banach fixed point method, the parabolic Schauder estimates, parabolic LpLp estimates and the continuation method, we prove that this system has a unique global classical solution.