Holder regularity for porous medium systems

被引：2

作者：

Liao, Naian ^{[1
]}

机构：

[1] Univ Salzburg, Fachbereich Math, Hellbrunner Str 34, A-5020 Salzburg, Austria

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2021年 / 60卷 / 04期

关键词：

WEAK SOLUTIONS; SUPERSOLUTIONS; GRADIENT;

D O I：

10.1007/s00526-021-02021-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish Holder continuity for locally bounded weak solutions to certain parabolic systems of porous medium type, i.e. partial derivative(t)u - div(m|u|(m-1)Du) = 0, m > 0. As a consequence of our local Holder estimates, a Liouville type result for bounded global solutions is also established. In addition, sufficient conditions are given to ensure local boundedness of local weak solutions.

引用

页数：28

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