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

2025/08/24 by Gamboa, Alfredo S., Limaco, Juan, Yapu, Luis P. · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2508.17546

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.

Citations

• Carleman Estimates and null controllability of coupled degenerate systems
• Approximate controllability for linear degenerate parabolic problems with bilinear control
• The Parabolic Differential Equations and the Associated Semi-Groups of Transformations

Cited by

• Stackelberg-Nash strategy for the null controllability of semilinear degenerate equations in non-cylindrical domains

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