Stability of Solutions to a Free Boundary Problem for Tumor Growth
We study the asymptotic behaviour of quasi-stationary solutions of a free boundary problem which had been discussed by Bueno (2005). Using a simpler method we prove that the quasi-steady solutions of the problem converge uniformly to the unique nontrivial steady solution.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2014/427547 |
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| _version_ | 1849308976511975424 |
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| author | Shihe Xu |
| author_facet | Shihe Xu |
| author_sort | Shihe Xu |
| collection | DOAJ |
| description | We study the asymptotic behaviour of quasi-stationary solutions of a free boundary
problem which had been discussed by Bueno (2005). Using a simpler method we prove that the quasi-steady solutions of the problem converge uniformly to the unique nontrivial steady solution. |
| format | Article |
| id | doaj-art-0c118cfbb5e440ebbfecf9d4064458b6 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-0c118cfbb5e440ebbfecf9d4064458b62025-08-20T03:54:19ZengWileyInternational Journal of Differential Equations1687-96431687-96512014-01-01201410.1155/2014/427547427547Stability of Solutions to a Free Boundary Problem for Tumor GrowthShihe Xu0School of Mathematics and Information Sciences, Zhaoqing University, Zhaoqing, Guangdong 526061, ChinaWe study the asymptotic behaviour of quasi-stationary solutions of a free boundary problem which had been discussed by Bueno (2005). Using a simpler method we prove that the quasi-steady solutions of the problem converge uniformly to the unique nontrivial steady solution.http://dx.doi.org/10.1155/2014/427547 |
| spellingShingle | Shihe Xu Stability of Solutions to a Free Boundary Problem for Tumor Growth International Journal of Differential Equations |
| title | Stability of Solutions to a Free Boundary Problem for Tumor Growth |
| title_full | Stability of Solutions to a Free Boundary Problem for Tumor Growth |
| title_fullStr | Stability of Solutions to a Free Boundary Problem for Tumor Growth |
| title_full_unstemmed | Stability of Solutions to a Free Boundary Problem for Tumor Growth |
| title_short | Stability of Solutions to a Free Boundary Problem for Tumor Growth |
| title_sort | stability of solutions to a free boundary problem for tumor growth |
| url | http://dx.doi.org/10.1155/2014/427547 |
| work_keys_str_mv | AT shihexu stabilityofsolutionstoafreeboundaryproblemfortumorgrowth |