Analysis of the null controllability of degenerate parabolic systems of Grushin type via the moments method (Q2064563)

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scientific article; zbMATH DE number 7452688
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Analysis of the null controllability of degenerate parabolic systems of Grushin type via the moments method
scientific article; zbMATH DE number 7452688

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    Analysis of the null controllability of degenerate parabolic systems of Grushin type via the moments method (English)
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    6 January 2022
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    In this paper, authors computed the exact value of the minimal null control time for the Grushin equation controlled on a strip based on the moments method. The approach here is involved in a careful spectral analysis of a truncated harmonic oscillator. The main results also extended some known results on biorthogonal families to real exponentials in the absence of a gap condition to get uniform estimates with respect to the asymptotic behavior of the associated counting function.
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    control theory
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    degenerate parabolic partial differential equations
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    minimal null control time
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    moments method
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    biorthogonal families
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    spectral analysis of harmonic oscillator
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