Well-posedness of a multidimensional free boundary problem modelling the growth of nonnecrotic tumors

DOI10.1016/j.jfa.2006.12.020zbMath1117.35085OpenAlexW2046433389MaRDI QIDQ880113

Shang-bin Cui

Publication date: 10 May 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2006.12.020

zbMATH Keywords

tumor growthfree boundary problemwell-posednessmulti-dimension

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Medical applications (general) (92C50) Free boundary problems for PDEs (35R35)

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Cites Work

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• Analysis of a mathematical model for the growth of tumors
• Classical solutions for Hele-Shaw models with surface tension
• Analysis of a mathematical model of the effect of inhibitors on the growth of tumors
• Analysis of a mathematical model for the growth of tumors under the action of external inhibitors
• Classical solutions to a moving boundary problem for an elliptic-parabolic system
• Analysis of a free boundary problem modeling tumor growth
• A Free Boundary Problem for an Elliptic–Parabolic System: Application to a Model of Tumor Growth
• Equations of parabolic type in a Banach space
• Analytic semigroups and optimal regularity in parabolic problems

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