Tug-of-war games associated with boundary value problems involving derivatives
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866908477394255872 |
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| author | Han, Jeongmin |
| author_facet | Han, Jeongmin |
| contents | In this paper, we study a certain type of noisy tug-of-war game which can be regarded as an interpretation of a certain type of boundary value problem for the normalized $p$-Laplace equation, where $1<p<2$. More precisely, we will investigate the boundary regularity of the value function to the game and its convergence to a viscosity solution of the model problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01151 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tug-of-war games associated with boundary value problems involving derivatives Han, Jeongmin Analysis of PDEs 91A05, 91A15, 35D40, 35B65 In this paper, we study a certain type of noisy tug-of-war game which can be regarded as an interpretation of a certain type of boundary value problem for the normalized $p$-Laplace equation, where $1<p<2$. More precisely, we will investigate the boundary regularity of the value function to the game and its convergence to a viscosity solution of the model problem. |
| title | Tug-of-war games associated with boundary value problems involving derivatives |
| topic | Analysis of PDEs 91A05, 91A15, 35D40, 35B65 |
| url | https://arxiv.org/abs/2412.01151 |