Asymptotic behavior of solutions of a free boundary problem modeling multi-layer tumor growth in presence of inhibitor

DOI10.1007/S10114-011-8361-2zbMath1304.35780OpenAlexW2129774544MaRDI QIDQ475777

Xiu Mei Hou

Publication date: 27 November 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-8361-2

zbMATH Keywords

stabilityasymptotic behaviorfree boundary problemwell-posednessinhibitormulti-layer tumor

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Medical applications (general) (92C50) Free boundary problems for PDEs (35R35)

Cites Work

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• Well-posedness and stability of a free boundary problem modeling the growth of multi-layer tumors
• Well-posedness and stability of a multi-dimensional tumor growth model
• Classical solutions for Hele-Shaw models with surface tension
• Stabilization of flows through porous media
• Analytic semigroups and optimal regularity in parabolic problems

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