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- W4289478969 abstract "We consider an infinite strip $Omega_L=(0,2pi L)^{d-1}timesmathbb{R}$, $dgeq 2$, $L>0$, and study the control problem of the heat equation on $Omega_L$ with Dirichlet or Neumann boundary conditions, and control set $omegasubsetOmega_L$. We provide a sufficient and necessary condition for null-controllability in any positive time $T>0$, which is a geometric condition on the control set $omega$. This is referred to as thickness with respect to $Omega_L$ and implies that the set $omega$ cannot be concentrated in a particular region of $Omega_L$. We compare the thickness condition with a previously known necessity condition for null-controllability and give a control cost estimate which only shows dependence on the geometric parameters of $omega$ and the time $T$." @default.
- W4289478969 created "2022-08-02" @default.
- W4289478969 creator A5077723480 @default.
- W4289478969 date "2018-09-28" @default.
- W4289478969 modified "2023-09-25" @default.
- W4289478969 title "On null-controllability of the heat equation on infinite strips and control cost estimate" @default.
- W4289478969 doi "https://doi.org/10.48550/arxiv.1809.10942" @default.
- W4289478969 hasPublicationYear "2018" @default.
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