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arXiv · 2508.17546

Controllability of a system of non-autonomous degenerate coupled parabolic equations

Alfredo S. Gamboa·Juan Limaco·Luis P. Yapu
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Abstract

We prove a Carleman estimate for a one-dimensional parabolic equation which degenerates at one extremity of the domain and has a bounded, time dependent coefficient multiplying the diffusion term. Then we use the estimate to show the null controllability of a coupled system characterized by this form of diffusion operator and bounded coefficients.

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Alfredo S. Gamboa, Juan Limaco, Luis P. Yapu. 2025-08-24. Controllability of a system of non-autonomous degenerate coupled parabolic equations. https://arxiv.org/abs/2508.17546

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