Classical solutions to a moving boundary problem for an elliptic-parabolic system
type: Item
instance of: scholarly article
title: Classical solutions to a moving boundary problem for an elliptic-parabolic system
zbMATH Open document ID: 1057.35097
DOI: 10.4171/IFB/96
author: Joachim Escher
published in: Interfaces and Free Boundaries
publication date: 2004-09-27T00:00:00Z
review text: This paper studies a mathematical model describing in vivo cancer growth for a single tumor. The model includes a reaction-diffusion equation associated to the nutrient concentration and an elliptic partial differential equation for the internal pressure. This model involves a moving boundary problem for a couple of elliptic and parabolic boundary value problems. The author proves the existence and uniqueness of classical solution for a class of initial data.
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 92C37
Mathematics Subject Classification ID: 92C50
zbMATH DE Number: 2103789
zbMATH Keywords: tumor growth model
zbMATH Keywords: reaction-diffusion equation
zbMATH Keywords: elliptic equation
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: classical solution
reviewed by: Yves Cherruault
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2103789