Parabolic BMO and the forward-in-time maximal operator

被引：5

作者：

Saari, Olli ^{[1
,2
]}

机构：

[1] Aalto Univ, Dept Math & Syst Anal, Sch Sci, Aalto 00076, Finland

[2] Univ Bonn, Math Inst, Endenicher Allee 60, D-53115 Bonn, Germany

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2018年 / 197卷 / 05期

关键词：

Parabolic BMO; Forward-in-time; One-sided; Maximal operator; Heat equation; Doubly nonlinear equation; Parabolic equation; p-Laplace; WEIGHTED INEQUALITIES; HARNACK INEQUALITY; DIFFERENTIAL-EQUATIONS;

D O I：

10.1007/s10231-018-0733-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study if the parabolic forward-in-time maximal operator is bounded on parabolic BMO. It turns out that for non-negative functions the answer is positive, but the behavior of sign-changing functions is more delicate. The class parabolic BMO and the forward-in-time maximal operator originate from the regularity theory of nonlinear parabolic partial differential equations. In addition to that context, we also study the question in dimension one.

引用

页码：1477 / 1497

页数：21

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