Fujita Exponent for a Nonlinear Degenerate Parabolic Equation with Localized Source
This paper is devoted to understand the blow-up properties of reaction-diffusion equations which combine a localized reaction term with nonlinear diffusion. In particular, we study the critical exponent of a p-Laplacian equation with a localized reaction. We obtain the Fujita exponent qc of the equa...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/301747 |
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| _version_ | 1832556915227361280 |
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| author | Yulan Wang Xiaojun Song Chao Ye |
| author_facet | Yulan Wang Xiaojun Song Chao Ye |
| author_sort | Yulan Wang |
| collection | DOAJ |
| description | This paper is devoted to understand the blow-up properties of reaction-diffusion equations which combine a localized reaction term with nonlinear diffusion. In particular, we study the critical exponent of a p-Laplacian equation with a localized reaction. We obtain the Fujita exponent qc of the equation. |
| format | Article |
| id | doaj-art-c5112fae8ae04aee9016b099d57cebf9 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-c5112fae8ae04aee9016b099d57cebf92025-02-03T05:44:11ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/301747301747Fujita Exponent for a Nonlinear Degenerate Parabolic Equation with Localized SourceYulan Wang0Xiaojun Song1Chao Ye2School of Mathematics and Computer Engineering, Xihua University, Chengdu 610039, ChinaCollege of Mathematic and Information, China West Normal University, Nanchong 637002, ChinaDivision of Academic Periodicals, Xihua University, Chengdu 610039, ChinaThis paper is devoted to understand the blow-up properties of reaction-diffusion equations which combine a localized reaction term with nonlinear diffusion. In particular, we study the critical exponent of a p-Laplacian equation with a localized reaction. We obtain the Fujita exponent qc of the equation.http://dx.doi.org/10.1155/2014/301747 |
| spellingShingle | Yulan Wang Xiaojun Song Chao Ye Fujita Exponent for a Nonlinear Degenerate Parabolic Equation with Localized Source Advances in Mathematical Physics |
| title | Fujita Exponent for a Nonlinear Degenerate Parabolic Equation with Localized Source |
| title_full | Fujita Exponent for a Nonlinear Degenerate Parabolic Equation with Localized Source |
| title_fullStr | Fujita Exponent for a Nonlinear Degenerate Parabolic Equation with Localized Source |
| title_full_unstemmed | Fujita Exponent for a Nonlinear Degenerate Parabolic Equation with Localized Source |
| title_short | Fujita Exponent for a Nonlinear Degenerate Parabolic Equation with Localized Source |
| title_sort | fujita exponent for a nonlinear degenerate parabolic equation with localized source |
| url | http://dx.doi.org/10.1155/2014/301747 |
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