Variable Lorentz estimate for generalized Stokes systems in non-smooth domains
| dc.contributor.author | Liang, Shuang | |
| dc.contributor.author | Zheng, Shenzhou | |
| dc.contributor.author | Feng, Zhaosheng | |
| dc.date.accessioned | 2021-12-03T18:53:07Z | |
| dc.date.available | 2021-12-03T18:53:07Z | |
| dc.date.issued | 2019-09-26 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 29 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15003 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Generalized Stokes systems | |
| dc.subject | Lorentz estimates with variable power | |
| dc.subject | Small BMO | |
| dc.subject | Reifenberg flatness | |
| dc.subject | Large-M-inequality principle | |
| dc.title | Variable Lorentz estimate for generalized Stokes systems in non-smooth domains | |
| dc.type | Article |