Details
| Original language | English |
|---|---|
| Pages (from-to) | 175-193 |
| Number of pages | 19 |
| Journal | Interfaces and Free Boundaries |
| Volume | 6 |
| Issue number | 2 |
| Publication status | Published - 30 Jun 2004 |
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Surfaces and Interfaces
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In: Interfaces and Free Boundaries, Vol. 6, No. 2, 30.06.2004, p. 175-193.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Classical solutions to a moving boundary problem for an elliptic-parabolic system
AU - Escher, Joachim
PY - 2004/6/30
Y1 - 2004/6/30
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=3242743726&partnerID=8YFLogxK
U2 - 10.4171/IFB/96
DO - 10.4171/IFB/96
M3 - Article
AN - SCOPUS:3242743726
VL - 6
SP - 175
EP - 193
JO - Interfaces and Free Boundaries
JF - Interfaces and Free Boundaries
SN - 1463-9963
IS - 2
ER -