Spatial Profile of the Dead Core for the Fast Diffusion Equation with Dependent Coefficient
We consider the dead-core problem for the fast diffusion equation with spatially dependent coefficient and obtain precise estimates on the single-point final dead-core profile. The proofs rely on maximum principle and require much delicate computation.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/751969 |
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| _version_ | 1832545571393503232 |
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| author | Zhengce Zhang Biao Wang |
| author_facet | Zhengce Zhang Biao Wang |
| author_sort | Zhengce Zhang |
| collection | DOAJ |
| description | We consider the dead-core problem for the fast diffusion equation with
spatially dependent coefficient and obtain precise estimates on the single-point
final dead-core profile. The proofs rely on maximum principle and
require much delicate computation. |
| format | Article |
| id | doaj-art-4b088c110eb34862857be7b6d7bcf817 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-4b088c110eb34862857be7b6d7bcf8172025-02-03T07:25:24ZengWileyInternational Journal of Differential Equations1687-96431687-96512011-01-01201110.1155/2011/751969751969Spatial Profile of the Dead Core for the Fast Diffusion Equation with Dependent CoefficientZhengce Zhang0Biao Wang1School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, ChinaSchool of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, ChinaWe consider the dead-core problem for the fast diffusion equation with spatially dependent coefficient and obtain precise estimates on the single-point final dead-core profile. The proofs rely on maximum principle and require much delicate computation.http://dx.doi.org/10.1155/2011/751969 |
| spellingShingle | Zhengce Zhang Biao Wang Spatial Profile of the Dead Core for the Fast Diffusion Equation with Dependent Coefficient International Journal of Differential Equations |
| title | Spatial Profile of the Dead Core for the Fast Diffusion Equation with Dependent Coefficient |
| title_full | Spatial Profile of the Dead Core for the Fast Diffusion Equation with Dependent Coefficient |
| title_fullStr | Spatial Profile of the Dead Core for the Fast Diffusion Equation with Dependent Coefficient |
| title_full_unstemmed | Spatial Profile of the Dead Core for the Fast Diffusion Equation with Dependent Coefficient |
| title_short | Spatial Profile of the Dead Core for the Fast Diffusion Equation with Dependent Coefficient |
| title_sort | spatial profile of the dead core for the fast diffusion equation with dependent coefficient |
| url | http://dx.doi.org/10.1155/2011/751969 |
| work_keys_str_mv | AT zhengcezhang spatialprofileofthedeadcoreforthefastdiffusionequationwithdependentcoefficient AT biaowang spatialprofileofthedeadcoreforthefastdiffusionequationwithdependentcoefficient |