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dc.contributor.authorWei, N.
dc.contributor.authorGe, X.
dc.contributor.authorWu, Yong Hong
dc.contributor.authorZhao, L.
dc.date.accessioned2017-04-28T14:00:11Z
dc.date.available2017-04-28T14:00:11Z
dc.date.created2017-04-28T09:06:07Z
dc.date.issued2017
dc.identifier.citationWei, N. and Ge, X. and Wu, Y.H. and Zhao, L. 2017. L p Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems. Discrete Dynamics in Nature and Society. 2017: 2741326.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/52848
dc.identifier.doi10.1155/2017/2741326
dc.description.abstract

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.

dc.publisherHindawi Publishing Coporation
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.titleL p Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems
dc.typeJournal Article
dcterms.source.volume2017
dcterms.source.issn1026-0226
dcterms.source.titleDiscrete Dynamics in Nature and Society
curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusOpen access


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