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

Gamboa AS, Limaco J, Yapu LP (2026)


Publication Type: Journal article

Publication year: 2026

Journal

Book Volume: 563

Article Number: 130777

Journal Issue: 2

DOI: 10.1016/j.jmaa.2026.130777

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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How to cite

APA:

Gamboa, A.S., Limaco, J., & Yapu, L.P. (2026). Controllability of a system of non-autonomous degenerate coupled parabolic equations. Journal of Mathematical Analysis and Applications, 563(2). https://doi.org/10.1016/j.jmaa.2026.130777

MLA:

Gamboa, Alfredo S., Juan Limaco, and Luis P. Yapu. "Controllability of a system of non-autonomous degenerate coupled parabolic equations." Journal of Mathematical Analysis and Applications 563.2 (2026).

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