Journal of Lanzhou University of Technology ›› 2022, Vol. 48 ›› Issue (2): 156-162.

• Scientific • Previous Articles     Next Articles

A necessary condition for boundary controllability of coupled parabolic equations with variable coefficients

XIE Wei-song, ZHANG Qing-qing   

  1. School of Mathematics, Tianjin University, Tianjin 300350, China
  • Received:2021-03-09 Online:2022-04-28 Published:2022-05-07

Abstract: The boundary controllability of non-scalar variable coefficient linear parabolic equations is studied. A necessary condition for boundary null controllability is established, which has only one boundary control for a system with two equations depending on the same coefficient that is time-dependent. The necessary condition is proved based on the observability inequality of the equations.

Key words: coupled parabolic equations, null controllability, observability inequality

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