|
|||||
|
|
Global regularity for higher order divergence elliptic and parabolic equations |
|
| Authors: | Lihe Wang Fengping Yao |
| Affiliation: | 1. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China;2. Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA;3. Department of Mathematics, Shanghai University, Shanghai 200436, China |
| 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. |
| Keywords: | Regularity Sobolev Orlicz spaces Higher order Divergence Elliptic Parabolic Small BMO The whole space |
| 本文献已被 ScienceDirect 等数据库收录！ | |