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• W4288568368 abstract "We consider the control problem for the generalized heat equation for a Schroedinger operator on a domain with a reflection symmetry with respect to a hyperplane. We show that if this system is null-controllable, then so is the system on its respective parts and the corresponding control cost does not exceed the one on the whole domain. As an application, we obtain null-controllability results for the heat equation on half-spaces, orthants, and sectors of angle $pi/2$. As a byproduct, we also obtain explicit control cost bounds for the heat equation on certain triangles and corresponding prisms in terms of geometric parameters of the control set." @default.
• W4288568368 created "2022-07-29" @default.
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• W4288568368 date "2022-03-21" @default.
• W4288568368 modified "2023-09-30" @default.
• W4288568368 title "The Reflection Principle in the Control Problem of the Heat Equation" @default.
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• W4288568368 doi "https://doi.org/10.1007/s10883-021-09588-5" @default.
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