Existence and Uniqueness of Local Solutions for a Class of Partial Differential-Algebraic Equations
Analysis of PDEs
2025-02-11 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2502.06454,
title = {Existence and Uniqueness of Local Solutions for a Class of Partial Differential-Algebraic Equations},
author = {Seyyid Ali Benabdallah},
journal= {arXiv preprint arXiv:2502.06454},
year = {2025}
}
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