Minimal time of the pointwise controllability for degenerate singular operators and related numerical results via B-splines

Salah Eddargani; Amine Sbai

doi:10.1016/j.cam.2025.116892

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arXiv · 2405.04930

Minimal time of the pointwise controllability for degenerate singular operators and related numerical results via B-splines

Salah Eddargani·Amine Sbai

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Abstract

The goal of this paper is to analyze the pointwise controllability properties of a one-dimensional degenerate/singular equation. We prove the conditions that characterize approximate and null controllability. Besides, a numerical simulation based on B-splines will be provided, in which the state $u$ and the control function $h$ are represented in terms of B-spline basis functions. The numerical results obtained match the theoretical ones.

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Salah Eddargani, Amine Sbai. 2024-05-08. Minimal time of the pointwise controllability for degenerate singular operators and related numerical results via B-splines. https://doi.org/10.1016/j.cam.2025.116892

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