Lp Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems
This paper is devoted to the Lp estimates for weak solutions to nonlinear degenerate parabolic systems related to Hörmander’s vector fields. The reverse Hölder inequalities for degenerate parabolic system under the controllable growth conditions and natural growth conditions are established, respect...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2017/2741326 |
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| _version_ | 1832548342987489280 |
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| author | Na Wei Xiangyu Ge Yonghong Wu Leina Zhao |
| author_facet | Na Wei Xiangyu Ge Yonghong Wu Leina Zhao |
| author_sort | Na Wei |
| collection | DOAJ |
| description | This paper is devoted to the Lp estimates for weak solutions to nonlinear degenerate parabolic systems related to Hörmander’s vector fields. The reverse Hölder inequalities for degenerate parabolic system under the controllable growth conditions and natural growth conditions are established, respectively, and an important multiplicative inequality is proved; finally, we obtain the Lp estimates for the weak solutions by combining the results of Gianazza and the Caccioppoli inequality. |
| format | Article |
| id | doaj-art-a6918c3b16434b44adeb4b25de7d132d |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-a6918c3b16434b44adeb4b25de7d132d2025-02-03T06:14:16ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/27413262741326Lp Estimates for Weak Solutions to Nonlinear Degenerate Parabolic SystemsNa Wei0Xiangyu Ge1Yonghong Wu2Leina Zhao3School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, ChinaSchool of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, ChinaSchool of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, ChinaDepartment of Mathematics, Chongqing Jiaotong University, Chongqing 400074, ChinaThis paper is devoted to the Lp estimates for weak solutions to nonlinear degenerate parabolic systems related to Hörmander’s vector fields. The reverse Hölder inequalities for degenerate parabolic system under the controllable growth conditions and natural growth conditions are established, respectively, and an important multiplicative inequality is proved; finally, we obtain the Lp estimates for the weak solutions by combining the results of Gianazza and the Caccioppoli inequality.http://dx.doi.org/10.1155/2017/2741326 |
| spellingShingle | Na Wei Xiangyu Ge Yonghong Wu Leina Zhao Lp Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems Discrete Dynamics in Nature and Society |
| title | Lp Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems |
| title_full | Lp Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems |
| title_fullStr | Lp Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems |
| title_full_unstemmed | Lp Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems |
| title_short | Lp Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems |
| title_sort | lp estimates for weak solutions to nonlinear degenerate parabolic systems |
| url | http://dx.doi.org/10.1155/2017/2741326 |
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