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Well-posedness and stability analysis for a moving boundary problem modelling the growth of nonnecrotic tumors - MaRDI portal

Well-posedness and stability analysis for a moving boundary problem modelling the growth of nonnecrotic tumors (Q541564)

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Well-posedness and stability analysis for a moving boundary problem modelling the growth of nonnecrotic tumors
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    Well-posedness and stability analysis for a moving boundary problem modelling the growth of nonnecrotic tumors (English)
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    7 June 2011
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    The authors study the well-posedness of a free-boundary toy model for tumor growth consisting of a system of two weakly-coupled Dirichlet problems. The small Hölder spaces seem to provide a suitable framework for the analysis. Additionally, using the principle of linearized stability, the stability properties of the unique radially symmetric equilibrium of the problem are characterized.
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    free-boundary problem
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    well-posedness
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    fixed-domain transformation
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    tumor growth
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