Global regularity for higher order divergence elliptic and parabolic equations

Lihe Wang; Fengping Yao

doi:10.1016/j.jfa.2013.10.018

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Global regularity for higher order divergence elliptic and parabolic equations

Journal article

Open access

Peer reviewed

Global regularity for higher order divergence elliptic and parabolic equations

Lihe Wang and Fengping Yao

Journal of functional analysis, Vol.266(2), pp.792-813

01/15/2014

DOI: 10.1016/j.jfa.2013.10.018

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Abstract

In this paper we obtain the global regularity estimates of the weak solutions in Sobolev spaces and Orlicz spaces for higher order elliptic and parabolic equations of divergence form with small BMO coefficients in the whole space. We only focus on the parabolic case while the corresponding result in the elliptic case can be obtained as a corollary.

Small BMO

Divergence

Parabolic

The whole space

Higher order

Elliptic

Sobolev

Regularity

Orlicz spaces

Details

Title: Subtitle: Global regularity for higher order divergence elliptic and parabolic equations
Creators: Lihe Wang - Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China
Fengping Yao - Department of Mathematics, Shanghai University, Shanghai 200436, China
Resource Type: Journal article
Publication Details: Journal of functional analysis, Vol.266(2), pp.792-813
DOI: 10.1016/j.jfa.2013.10.018
ISSN: 0022-1236
eISSN: 1096-0783
Publisher: Elsevier Inc
Grant note: DOI: 10.13039/501100001809, name: NSFC, award: 11001165; name: Department of Mathematics at Shanghai University
Language: English
Date published: 01/15/2014
Academic Unit: Mathematics
Record Identifier: 9984083896402771

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