Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems

Na Wei, Xiangyu Ge, Yonghong Wu and Leina Zhao

Discrete Dynamics in Nature and Society, 2017, vol. 2017, 1-12

Abstract:

This paper is devoted to the 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 estimates for the weak solutions by combining the results of Gianazza and the Caccioppoli inequality.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:2741326

DOI: 10.1155/2017/2741326

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