Interfaces and Free Boundaries


Full-Text PDF (148 KB) | Table of Contents | IFB summary
Volume 6, Issue 2, 2004, pp. 175–193
DOI: 10.4171/IFB/96

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

Joachim Escher[1]

(1) Institute for Applied Mathematics, University of Hannover, D-30060, HANNOVER, GERMANY

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.

Keywords: Moving boundary problem, tumor growth,

Escher J. Classical solutions to a moving boundary problem for an elliptic-parabolic system. Interfaces Free Bound. 6 (2004), 175-193. doi: 10.4171/IFB/96