Orlicz estimates for general parabolic obstacle problems with p(t,x)-growth in Reifenberg domains
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...
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Texas State University
2020-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2020/13/abstr.html |
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doaj-b181633913f3422982e9581c052a2d192020-11-25T03:00:59ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912020-01-01202013,125Orlicz estimates for general parabolic obstacle problems with p(t,x)-growth in Reifenberg domainsHong Tian0Shenzhou Zheng1 Tianjin Univ. of Technology, Tianjin, China Beijing Jiaotong Univ., Beijing, China 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.http://ejde.math.txstate.edu/Volumes/2020/13/abstr.htmlparabolic obstacle problemsdiscontinuous nonlinearitiesp(t,x)-growthorlicz spacesreifenberg flat domains |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hong Tian Shenzhou Zheng |
| spellingShingle |
Hong Tian Shenzhou Zheng Orlicz estimates for general parabolic obstacle problems with p(t,x)-growth in Reifenberg domains Electronic Journal of Differential Equations parabolic obstacle problems discontinuous nonlinearities p(t,x)-growth orlicz spaces reifenberg flat domains |
| author_facet |
Hong Tian Shenzhou Zheng |
| author_sort |
Hong Tian |
| title |
Orlicz estimates for general parabolic obstacle problems with p(t,x)-growth in Reifenberg domains |
| title_short |
Orlicz estimates for general parabolic obstacle problems with p(t,x)-growth in Reifenberg domains |
| title_full |
Orlicz estimates for general parabolic obstacle problems with p(t,x)-growth in Reifenberg domains |
| title_fullStr |
Orlicz estimates for general parabolic obstacle problems with p(t,x)-growth in Reifenberg domains |
| title_full_unstemmed |
Orlicz estimates for general parabolic obstacle problems with p(t,x)-growth in Reifenberg domains |
| title_sort |
orlicz estimates for general parabolic obstacle problems with p(t,x)-growth in reifenberg domains |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2020-01-01 |
| description |
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. |
| topic |
parabolic obstacle problems discontinuous nonlinearities p(t,x)-growth orlicz spaces reifenberg flat domains |
| url |
http://ejde.math.txstate.edu/Volumes/2020/13/abstr.html |
| work_keys_str_mv |
AT hongtian orliczestimatesforgeneralparabolicobstacleproblemswithptxgrowthinreifenbergdomains AT shenzhouzheng orliczestimatesforgeneralparabolicobstacleproblemswithptxgrowthinreifenbergdomains |
| _version_ |
1724695564558270464 |