Geodesic
Classical solutions to a moving boundary problem for an elliptic-parabolic system
Joachim Escher1
1University of Hannover, Germany
Interfaces and free boundaries, Tome 6 (2004) no. 2, pp. 175-193

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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.
DOI : 10.4171/ifb/96
Classification : 35-XX, 65-XX, 76-XX, 92-XX
Mots-clés : Moving boundary problem, tumor growth,

Joachim Escher  1

1 University of Hannover, Germany 
Joachim Escher. Classical solutions to a moving boundary problem for an elliptic-parabolic system. Interfaces and free boundaries, Tome 6 (2004) no. 2, pp. 175-193. doi: 10.4171/ifb/96
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     title = {Classical solutions to a moving boundary problem for an elliptic-parabolic system},
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     year = {2004},
     volume = {6},
     number = {2},
     doi = {10.4171/ifb/96},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/96/}
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