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Approximate Controllability for Degenerate Heat Equation with Bilinear Control

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Abstract

This paper investigates the nonnegative approximate controllability for the one-dimensional degenerate heat equation governed by bilinear control. Both non-controllability and approximate controllability are studied for the system. If the control is restricted to act on a fixed domain, it is not controllable. If the control is allowed to mobile, it is approximately controllable.

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Authors and Affiliations

  1. School of Science, Northeast Electric Power University, Jilin, 132012, China

    Lingfei Li

  2. School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, China

    Hang Gao

Authors
  1. Lingfei Li
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  2. Hang Gao
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Corresponding author

Correspondence to Hang Gao.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant Nos. 11771074, 11871142 and the PhD Research Start-up Fund of Northeast Electric Power University under Grant No. BSJXM-2019113.

This paper was recommended for publication by Editor LIU Yungang.

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Li, L., Gao, H. Approximate Controllability for Degenerate Heat Equation with Bilinear Control. J Syst Sci Complex 34, 537–551 (2021). https://doi.org/10.1007/s11424-020-9082-3

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  • DOI: https://doi.org/10.1007/s11424-020-9082-3

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