Orlicz estimates for general parabolic obstacle problems with p(t,x)-growth in Reifenberg domains
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Date
2020-01-27
Authors
Tian, Hong
Zheng, Shenzhou
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Parabolic obstacle problems, Discontinuous nonlinearities, p(t,x)-growth, Orlicz spaces, Reifenberg flat domains
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.
Rights
Attribution 4.0 International