JournalsifbVol. 6, No. 2pp. 175–193

Classical solutions to a moving boundary problem for an elliptic-parabolic system

  • Joachim Escher

    University of Hannover, Germany
Classical solutions to a moving boundary problem for an elliptic-parabolic system cover
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Abstract

The paper concerns a moving boundary problem for a coupled system of an elliptic and a parabolic boundary value problem. This system is applied to a model describing the growth of a homogeneous solid tumor in which the cell proliferation rate depends on the nutrient concentration only. For a large class of initial data the existence of a unique classical solution is shown.

Cite this article

Joachim Escher, Classical solutions to a moving boundary problem for an elliptic-parabolic system. Interfaces Free Bound. 6 (2004), no. 2, pp. 175–193

DOI 10.4171/IFB/96