Global Existence and Uniqueness of Solutions for a Free Boundary Problem Modeling the Growth of Tumors with a Necrotic Core and a Time Delay in Process of Proliferation

Shihe Xu and Minhai Huang

Mathematical Problems in Engineering, 2014, vol. 2014, 1-9

Abstract:

We study a mathematical model for the growth of necrotic tumors with time delays in proliferation. By transforming this problem into an initial-boundary value problem in fixed domain of a coupled system of a parabolic equation and one integrodifferential equation with time delays, in which all equations involve discontinuous terms, and using the approximation method combined with Schauder fixed point theorem, we prove that this problem has a unique global solution in any time interval .

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:480147

DOI: 10.1155/2014/480147

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