Tian, HongZheng, Shenzhou2021-09-212021-09-212020-01-27Tian, 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. 1-25.1072-6691https://hdl.handle.net/10877/14517This 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.Text25 pages1 file (.pdf)enAttribution 4.0 InternationalParabolic obstacle problemsDiscontinuous nonlinearitiesp(t,x)-growthOrlicz spacesReifenberg flat domainsArticle