L∞-ESTIMATES FOR PARABOLIC SYSTEMS WITH VMO-COEFFICIENTS

被引：5

作者：

Heck, Horst ^{[1
]}

Hieber, Matthias ^{[1
]}

Stavrakidis, Kyriakos ^{[1
]}

机构：

[1] Tech Univ Darmstadt, Fachbereich Math, Schlossgartenstr 7, D-64289 Darmstadt, Germany

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2010年 / 3卷 / 02期

关键词：

Parabolic systems; VMO; L-infinity;

D O I：

10.3934/dcdss.2010.3.299

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove L-infinity-a priori estimates for parabolic evolution equations in non-divergence form on all of R-n for bounded coefficients having only vanishing mean oscillation, thus allowing in particular non continuous coefficients.

引用

页码：299 / 309

页数：11

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