Variable Lorentz estimate for generalized Stokes systems in non-smooth domains
Date
2019-09-26
Authors
Liang, Shuang
Zheng, Shenzhou
Feng, Zhaosheng
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We prove a global Calderon-Zygmund type estimate in the framework of Lorentz spaces for the variable power of the gradient of weak solution pair (u,P) to the generalized steady Stokes system over a bounded non-smooth domain. It is assumed that the leading coefficients satisfy the small BMO condition, the boundary of domain belongs to Reifenberg flatness, and the variable exponent p(x) is log-Holder continuous.
Description
Keywords
Generalized Stokes systems, Lorentz estimates with variable power, Small BMO, Reifenberg flatness, Large-M-inequality principle
Citation
Liang, S., Zheng, S., & Feng, Z. (2019). Variable Lorentz estimate for generalized Stokes systems in non-smooth domains. <i>Electronic Journal of Differential Equations, 2019</i>(109), pp. 1-29.
Rights
Attribution 4.0 International