Integrability and continuity of solutions to double divergence form equations

被引：19

作者：

Bogachev, Vladimir I. ^{[1
]}

Shaposhnikov, Stanislav V. ^{[1
]}

机构：

[1] Natl Res Univ Higher Sch Econ, Moscow, Russia

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2017年 / 196卷 / 05期

关键词：

Double divergence form equation; Continuity of solutions; Harnack's inequality; Stationary Fokker-Planck-Kolmogorov equation; ELLIPTIC-EQUATIONS; PARABOLIC EQUATIONS; NONDIVERGENCE FORM; OPERATORS; REGULARITY; ADJOINT; INEQUALITY; BOUNDS;

D O I：

10.1007/s10231-016-0631-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain sharp conditions for higher integrability and continuity of solutions to double divergence form second-order elliptic equations with coefficients of low regularity. In addition, we prove Harnack's inequality in this case.

引用

页码：1609 / 1635

页数：27

共 35 条

[1] A Condition for the Positivity of the Density of an Invariant Measure [J].