ENERGY ESTIMATES FOR VARIATIONAL MINIMIZERS OF A PARABOLIC DOUBLY NONLINEAR EQUATION ON METRIC MEASURE SPACES

被引：6

作者：

Ivert, Per-Anders

Marola, Niko ^{[1
]}

Masson, Mathias ^{[2
]}

机构：

[1] Univ Helsinki, Dept Math & Stat, FI-00014 Helsinki, Finland

[2] Aalto Univ, Sch Sci & Technol, Dept Math, FI-00076 Aalto, Finland

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2014年 / 39卷 / 02期

关键词：

Doubling measure; energy estimates; Harnack inequality; parabolic minimizer; Poincare inequality; subminimizer; superminimizer; INEQUALITY;

D O I：

10.5186/aasfm.2014.3936

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper a variational approach is taken to study a doubly nonlinear parabolic equation. We consider energy estimates for parabolic minimizers related to this equation. These energy estimates play a fundamental role in obtaining Harnack estimates. Our treatment is done in general metric measure spaces with a doubling measure and a Poincare inequality.

引用

页码：711 / 719

页数：9

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