Hölder and Schauder estimates for weak solutions of a certain class of non-divergent variation inequality problems in finance
This article studies a class of variational inequality problems composed of non-divergence type parabolic operators. In comparison with traditional differential equations, this study focuses on overcoming inequality constraints to obtain Hölder and Schauder estimates for weak solutions. The results...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-06-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023968?viewType=HTML |
| _version_ | 1827922626974056448 |
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| author | Yudong Sun Tao Wu |
| author_facet | Yudong Sun Tao Wu |
| author_sort | Yudong Sun |
| collection | DOAJ |
| description | This article studies a class of variational inequality problems composed of non-divergence type parabolic operators. In comparison with traditional differential equations, this study focuses on overcoming inequality constraints to obtain Hölder and Schauder estimates for weak solutions. The results indicate that the weak solution of the variational inequality possesses the $ C^ \alpha $ continuity and the Schauder estimate on the $ W^{1, p} $ space, where $ \alpha \in (0, 1) $ and $ p\geq 2 $. |
| first_indexed | 2024-03-13T04:45:24Z |
| format | Article |
| id | doaj.art-630948d99a7540e2a4ec289f907bc777 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-13T04:45:24Z |
| publishDate | 2023-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-630948d99a7540e2a4ec289f907bc7772023-06-19T01:21:36ZengAIMS PressAIMS Mathematics2473-69882023-06-0188189951900310.3934/math.2023968Hölder and Schauder estimates for weak solutions of a certain class of non-divergent variation inequality problems in financeYudong Sun 0Tao Wu 11. School of Political and Economic Management, Guizhou Minzu University, Guiyang 550025, China2. Guizhou Institute of Minority Education, Guizhou Education University, Guiyang 550018, China 3. Guizhou Institute for Rural Vitalization, Guizhou Education University, Guiyang 550018, ChinaThis article studies a class of variational inequality problems composed of non-divergence type parabolic operators. In comparison with traditional differential equations, this study focuses on overcoming inequality constraints to obtain Hölder and Schauder estimates for weak solutions. The results indicate that the weak solution of the variational inequality possesses the $ C^ \alpha $ continuity and the Schauder estimate on the $ W^{1, p} $ space, where $ \alpha \in (0, 1) $ and $ p\geq 2 $.https://www.aimspress.com/article/doi/10.3934/math.2023968?viewType=HTMLvariation-inequality problemsnon-divergence type parabolic operatorhölder and schauder estimate |
| spellingShingle | Yudong Sun Tao Wu Hölder and Schauder estimates for weak solutions of a certain class of non-divergent variation inequality problems in finance AIMS Mathematics variation-inequality problems non-divergence type parabolic operator hölder and schauder estimate |
| title | Hölder and Schauder estimates for weak solutions of a certain class of non-divergent variation inequality problems in finance |
| title_full | Hölder and Schauder estimates for weak solutions of a certain class of non-divergent variation inequality problems in finance |
| title_fullStr | Hölder and Schauder estimates for weak solutions of a certain class of non-divergent variation inequality problems in finance |
| title_full_unstemmed | Hölder and Schauder estimates for weak solutions of a certain class of non-divergent variation inequality problems in finance |
| title_short | Hölder and Schauder estimates for weak solutions of a certain class of non-divergent variation inequality problems in finance |
| title_sort | holder and schauder estimates for weak solutions of a certain class of non divergent variation inequality problems in finance |
| topic | variation-inequality problems non-divergence type parabolic operator hölder and schauder estimate |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023968?viewType=HTML |
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