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arXiv · 2604.01311

Finite-time stabilization via impulse control of degenerate singular parabolic equations

Walid Zouhair·Ghita El Guermai·Ilham Ouelddris
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Abstract

This paper examines the impulse controllability of degenerate singular parabolic equations through a modern framework focused on finite-time stabilization. Furthermore, we provide an explicit estimate for the exponential decay of the solution. The proof of our main result combines a logarithmic convexity estimate with specific spectral properties. Finally, we establish the existence and uniqueness of the minimal norm impulse control associated with the system.

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Walid Zouhair, Ghita El Guermai, Ilham Ouelddris. 2026-04-01. Finite-time stabilization via impulse control of degenerate singular parabolic equations. https://arxiv.org/abs/2604.01311

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