Journal article
Higher-order nondivergence elliptic and parabolic equations in Sobolev spaces and Orlicz spaces
Journal of functional analysis, Vol.262(8), pp.3495-3517
04/15/2012
DOI: 10.1016/j.jfa.2012.01.016
Abstract
In this paper we obtain the global regularity estimates of the solutions in Sobolev spaces and Orlicz spaces for higher-order elliptic and parabolic equations of nondivergence form in the whole space. We only need to focus on the parabolic case since the corresponding result in the elliptic case can be obtained as a corollary.
Details
- Title: Subtitle
- Higher-order nondivergence elliptic and parabolic equations in Sobolev spaces and Orlicz spaces
- Creators
- Lihe Wang - Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, ChinaFengping Yao - Department of Mathematics, Shanghai University, Shanghai 200436, China
- Resource Type
- Journal article
- Publication Details
- Journal of functional analysis, Vol.262(8), pp.3495-3517
- DOI
- 10.1016/j.jfa.2012.01.016
- ISSN
- 0022-1236
- eISSN
- 1096-0783
- Publisher
- Elsevier Inc
- Grant note
- DOI: 10.13039/501100013286, name: Specialized Research Fund for the Doctoral Program of Higher Education of China, award: 20093108120003; DOI: 10.13039/100000001, name: National Science Foundation, award: 11001165; DOI: 10.13039/501100012150, name: Shanghai Leading Academic Discipline Project, award: J50101
- Language
- English
- Date published
- 04/15/2012
- Academic Unit
- Mathematics
- Record Identifier
- 9984083847102771
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