Parabolic equations with VMO coefficients in generalized Morrey spaces

被引：20

作者：

Zhang, Lin ^{[1
,2
]}

Jiang, Yin Sheng ^{[1
]}

Zhou, Jiang ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

[2] Xinjiang Inst Finance & Econ, Dept Appl Math, Urumqi 830012, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2010年 / 26卷 / 01期

基金：

中国国家自然科学基金;

关键词：

uniformly parabolic operator; generalized Morrey spaces; VMO; singular integrals and commutators; OBLIQUE DERIVATIVE PROBLEM; BMO;

D O I：

10.1007/s10114-010-8127-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the authors establish the regularity in generalized Morrey spaces of solutions to parabolic equations with VMO coefficients by means of the theory of singular integrals and linear commutators.

引用

页码：117 / 130

页数：14

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