Skip Navigation

IMA Journal of Applied Mathematics 1977 20(2):261-268; doi:10.1093/imamat/20.2.261
© 1977 by Institute of Mathematics and its Applications
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by ROGERS, J. C. W.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

A Free Boundary Problem as Diffusion with Non-linear Absorption

J. C. W. ROGERS

Naval Ordnance Laboratory Silver Spring, Maryland 20910, U.S.A.

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.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.