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
type: Item
instance of: scholarly article
title: 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
zbMATH Open document ID: 1407.35234
DOI: 10.1155/2014/480147
author: Shihe Xu
author: Minhai Huang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: 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 \([0, T]\).
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 92C42
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35Q92
zbMATH DE Number: 7016531
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/480147
OpenAlex ID: W2156090660
Wikidata QID: Q59067756
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description: scientific article; zbMATH DE number 7016531