Orlicz estimates for general parabolic obstacle problems with p(t,x)-growth in Reifenberg domains
| dc.contributor.author | Tian, Hong | |
| dc.contributor.author | Zheng, Shenzhou | |
| dc.date.accessioned | 2021-09-21T14:44:39Z | |
| dc.date.available | 2021-09-21T14:44:39Z | |
| dc.date.issued | 2020-01-27 | |
| dc.description.abstract | This article shows a global gradient estimate in the framework of Orlicz spaces for general parabolic obstacle problems with p(t,x)-Laplacian in a bounded rough domain. It is assumed that the variable exponent p(t,x) satisfies a strong log-Holder continuity, that the associated nonlinearity is measurable in the time variable and have small BMO semi-norms in the space variables, and that the boundary of the domain has Reifenberg flatness. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 25 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Tian, H., & Zheng, S. (2020). Orlicz estimates for general parabolic obstacle problems with p(t,x)-growth in Reifenberg domains. <i>Electronic Journal of Differential Equations, 2020</i>(13), pp. 1-25. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14517 | |
| 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, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Parabolic obstacle problems | |
| dc.subject | Discontinuous nonlinearities | |
| dc.subject | p(t,x)-growth | |
| dc.subject | Orlicz spaces | |
| dc.subject | Reifenberg flat domains | |
| dc.title | Orlicz estimates for general parabolic obstacle problems with p(t,x)-growth in Reifenberg domains | |
| dc.type | Article |