Interfaces and Free Boundaries
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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,