Analysis of an elliptic-parabolic free boundary problem modelling the growth of non-necrotic tumor cord

DOI10.1016/j.jmaa.2008.06.028zbMath1168.35049OpenAlexW2038139766MaRDI QIDQ1012180

Fujun Zhou, Junde Wu, Shang-bin Cui

Publication date: 14 April 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.06.028

zbMATH Keywords

weak solutionfree boundary problemasymptotical stabilitytumor cord

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Developmental biology, pattern formation (92C15) Free boundary problems for PDEs (35R35) Applications of operator theory in chemistry and life sciences (47N60)

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Existence and uniqueness of a solution of the problem with free boundary in the theory of filtration consolidation of soils with regard for the influence of technogenic factors ⋮ Well-posedness and stability for an elliptic-parabolic free boundary problem modeling the growth of multi-layer tumors

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