scholarly journals Local boundedness of local weak solutions for doubly degenerate parabolic systems with singular weights

2012 ◽  
Vol 25 (11) ◽  
pp. 1711-1715
Author(s):  
Yongzhong Wang ◽  
Pengcheng Niu ◽  
Xuewei Cui
Keyword(s):  
Weak Solutions ◽  
Parabolic Systems ◽  
Local Boundedness ◽  
Degenerate Parabolic Systems ◽  
Degenerate Parabolic ◽  
Singular Weights

scholarly journals Lp Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems

2017 ◽  
Vol 2017 ◽  
pp. 1-12
Author(s):  
Na Wei ◽  
Xiangyu Ge ◽  
Yonghong Wu ◽  
Leina Zhao
Keyword(s):  
Weak Solutions ◽  
Vector Fields ◽  
Parabolic Systems ◽  
Growth Conditions ◽  
Lp Estimates ◽  
Reverse Hölder Inequalities ◽  
Degenerate Parabolic Systems ◽  
Degenerate Parabolic ◽  
Reverse Hölder ◽  
Nonlinear Degenerate

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.

scholarly journals On Regularity of the Time Derivative for Degenerate Parabolic Systems

2015 ◽  
Vol 47 (5) ◽  
pp. 3917-3943 ◽  
Author(s):  
Jens Frehse ◽  
Sebastian Schwarzacher
Keyword(s):  
Time Derivative ◽  
Parabolic Systems ◽  
Degenerate Parabolic Systems ◽  
Degenerate Parabolic
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