L p 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, re...
| Main Authors: | , , , |
|---|---|
| Format: | Journal Article |
| Published: |
Hindawi Publishing Coporation
2017
|
| Online Access: | http://hdl.handle.net/20.500.11937/52848 |
| _version_ | 1848759025958649856 |
|---|---|
| author | Wei, N. Ge, X. Wu, Yong Hong Zhao, L. |
| author_facet | Wei, N. Ge, X. Wu, Yong Hong Zhao, L. |
| author_sort | Wei, N. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T09:53:20Z |
| format | Journal Article |
| id | curtin-20.500.11937-52848 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:53:20Z |
| publishDate | 2017 |
| publisher | Hindawi Publishing Coporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-528482017-09-13T15:48:11Z L p Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems Wei, N. Ge, X. Wu, Yong Hong Zhao, L. 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. 2017 Journal Article http://hdl.handle.net/20.500.11937/52848 10.1155/2017/2741326 http://creativecommons.org/licenses/by/4.0/ Hindawi Publishing Coporation fulltext |
| spellingShingle | Wei, N. Ge, X. Wu, Yong Hong Zhao, L. L p Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems |
| title | L p Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems |
| title_full | L p Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems |
| title_fullStr | L p Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems |
| title_full_unstemmed | L p Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems |
| title_short | L p Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems |
| title_sort | l p estimates for weak solutions to nonlinear degenerate parabolic systems |
| url | http://hdl.handle.net/20.500.11937/52848 |