Classical solutions to a moving boundary problem for an elliptic-parabolic system
Interfaces and free boundaries, Volume 6 (2004) no. 2, pp. 175-193
See the original article notice from the EMS Press source
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.
Classification:
35-XX, 65-XX, 76-XX, 92-XX
Keywords: Moving boundary problem, tumor growth,
Keywords: Moving boundary problem, tumor growth,
Author's affiliations:
Joachim Escher  1
Joachim Escher. Classical solutions to a moving boundary problem for an elliptic-parabolic system. Interfaces and free boundaries, Volume 6 (2004) no. 2, pp. 175-193. doi: 10.4171/ifb/96
@article{10_4171_ifb_96,
author = {Joachim Escher},
title = {Classical solutions to a moving boundary problem for an elliptic-parabolic system},
journal = {Interfaces and free boundaries},
pages = {175--193},
year = {2004},
volume = {6},
number = {2},
doi = {10.4171/ifb/96},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/96/}
}
Cited by Sources: