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arXiv · 2411.15658

Existence and Uniqueness of Local and Global Solutions for a Partial Differential-Algebraic Equation of Index One

Seyyid Ali Benabdallah·Messoud Souilah
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Abstract

In this paper, we use the theory of nonlinear semigroups to establish the existence and uniqueness of both local and global solutions for a partial differential-algebraic equation (PDAE) of index one. This method is applied to a reaction-diffusion system coupled with an elliptic equation in one dimension by transforming the PDAE into a system of linear evolution equations with a Lipschitz-continuous perturbation

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Seyyid Ali Benabdallah, Messoud Souilah. 2024-11-23. Existence and Uniqueness of Local and Global Solutions for a Partial Differential-Algebraic Equation of Index One. https://arxiv.org/abs/2411.15658

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