Existence and Uniqueness of Local Solutions for a Class of Partial Differential-Algebraic Equations

Seyyid Ali Benabdallah

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arXiv · 2502.06454

Existence and Uniqueness of Local Solutions for a Class of Partial Differential-Algebraic Equations

Seyyid Ali Benabdallah

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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.

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Seyyid Ali Benabdallah. 2025-02-10. Existence and Uniqueness of Local Solutions for a Class of Partial Differential-Algebraic Equations. https://arxiv.org/abs/2502.06454

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