Analysis of an elliptic-parabolic free boundary problem modelling the growth of non-necrotic tumor cord
type: Item
instance of: scholarly article
title: Analysis of an elliptic-parabolic free boundary problem modelling the growth of non-necrotic tumor cord
zbMATH Open document ID: 1168.35049
author: Junde Wu
author: Fujun Zhou
author: Shangbin Cui
published in: Journal of Mathematical Analysis and Applications
publication date: 2009-04-14T00:00:00Z
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 47N60
Mathematics Subject Classification ID: 92C15
zbMATH DE Number: 5543849
zbMATH Keywords: free boundary problem
zbMATH Keywords: tumor cord
zbMATH Keywords: weak solution
zbMATH Keywords: asymptotical stability
MaRDI profile type: Publication
full work available at URL: j.jmaa.2008.06.028
OpenAlex ID: W2038139766
cites work: Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
cites work: Q4284440
cites work: Q4327845
cites work: Growth of nonnecrotic tumors in the presence and absence of inhibitors
cites work: Growth of necrotic tumors in the presence and absence of inhibitors
cites work: Free boundary value problems associated with the growth and development of multicellular spheroids
cites work: A Free Boundary Problem with Unilateral Constraints Describing the Evolution of a Tumor Cord Under the Influence of Cell Killing Agents
cites work: A MATHEMATICAL MODEL FOR TUMOR CORDS INCORPORATING THE FLOW OF INTERSTITIAL FLUID
cites work: A Free Boundary Problem for an Elliptic–Parabolic System: Application to a Model of Tumor Growth
cites work: Global existence and asymptotic stability for an elliptic-parabolic free boundary problem: An application to a model of tumor growth
cites work: Regression and regrowth of tumour cords following single-dose anticancer treatment
cites work: Analysis of a free boundary problem modeling tumor growth
cites work: Well-posedness of a multidimensional free boundary problem modelling the growth of nonnecrotic tumors
cites work: Asymptotic Behaviour of Solutions of a Multidimensional Moving Boundary Problem Modeling Tumor Growth
cites work: A free boundary problem for a singular system of differential equations: An application to a model of tumor growth
cites work: Classical solutions to a moving boundary problem for an elliptic-parabolic system
cites work: Classical solutions for Hele-Shaw models with surface tension
cites work: Asymptotic stability for a free boundary problem arising in a tumor model
cites work: Analysis of a mathematical model for the growth of tumors
cites work: Symmetry-breaking bifurcation of analytic solutions to free boundary problems: An application to a model of tumor growth
cites work: Analytic semigroups and optimal regularity in parabolic problems
cites work: A new mathematical model for avascular tumour growth
cites work: Center manifolds for quasilinear reaction-diffusion systems
cites work: Equations of parabolic type in a Banach space
cites work: Q3336200
cites work: The steady state of a tumor cord cell population.
cites work: Q4335429
cites work: Well-posedness and stability of a multidimensional moving boundary problem modeling the growth of tumor cord
DOI: 10.1016/J.JMAA.2008.06.028
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description: scientific article; zbMATH DE number 5543849