Existence and Uniqueness of Local Solutions for a Class of Partial Differential-Algebraic Equations
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912226363834368 |
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| author | Benabdallah, Seyyid Ali |
| author_facet | Benabdallah, Seyyid Ali |
| contents | In this work, we present a result on the local existence and uniqueness of solutions to nonlinear Partial Differential-Algebraic Equations (PDAEs). By applying established theoretical results, we identify the conditions that guarantee the existence of a unique local solution. The analysis relies on techniques from functional analysis, semi-group theory, and the theory of differential-algebraic systems. Additionally, we provide applications to illustrate the effectiveness of this result. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_06454 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Existence and Uniqueness of Local Solutions for a Class of Partial Differential-Algebraic Equations Benabdallah, Seyyid Ali Analysis of PDEs 47B01, 47F05, 47H20, 47N60 In this work, we present a result on the local existence and uniqueness of solutions to nonlinear Partial Differential-Algebraic Equations (PDAEs). By applying established theoretical results, we identify the conditions that guarantee the existence of a unique local solution. The analysis relies on techniques from functional analysis, semi-group theory, and the theory of differential-algebraic systems. Additionally, we provide applications to illustrate the effectiveness of this result. |
| title | Existence and Uniqueness of Local Solutions for a Class of Partial Differential-Algebraic Equations |
| topic | Analysis of PDEs 47B01, 47F05, 47H20, 47N60 |
| url | https://arxiv.org/abs/2502.06454 |