Iterative method for solving a nonlinear Robin problem
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912045441482752 |
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| author | Benameur, Jamel Elhechmi, Chokri |
| author_facet | Benameur, Jamel Elhechmi, Chokri |
| contents | In \cite{CJ1} M. Jaoua et al. studied the linear approximation of Robin problem on $Ω$ an open bounded domain of $\R^d$, and they given some important results. In this paper, we study a nonlinear approximation of an elliptic problem with a nonlinear Robin boundary condition in a domain of $\R^2$. We prove the existence and uniqueness of solution by an iterative construction method with admissible condition on $\partialΩ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16464 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Iterative method for solving a nonlinear Robin problem Benameur, Jamel Elhechmi, Chokri Analysis of PDEs Nonlinear Robin condition, Existence and uniqueness of solution, Sobolev spaces, iterative metho G.1.8 In \cite{CJ1} M. Jaoua et al. studied the linear approximation of Robin problem on $Ω$ an open bounded domain of $\R^d$, and they given some important results. In this paper, we study a nonlinear approximation of an elliptic problem with a nonlinear Robin boundary condition in a domain of $\R^2$. We prove the existence and uniqueness of solution by an iterative construction method with admissible condition on $\partialΩ$. |
| title | Iterative method for solving a nonlinear Robin problem |
| topic | Analysis of PDEs Nonlinear Robin condition, Existence and uniqueness of solution, Sobolev spaces, iterative metho G.1.8 |
| url | https://arxiv.org/abs/2409.16464 |