A Free Boundary Problem as Diffusion with Non-linear Absorption
- 1 September 1977
- journal article
- research article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 20 (2) , 261-268
- https://doi.org/10.1093/imamat/20.2.261
Abstract
A free boundary problem arising in the treatment of oxygen absorption in tissue is viewed as a problem with non-linear absorption on a fixed domain. Existence and uniqueness results for the solution of the free boundary problem are obtained. The results are generalized to a wider class of absorption functions and initial conditions, and also to higher dimensional parabolic and elliptic free boundary problems.Keywords
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