Exact Controllability of the Heat Equation with Boundary Control and Boundary Noise

Noudjoud Hamdi () and Salah-Eddine Rebiai
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Noudjoud Hamdi: ICOSI Lab, Department of Mathematics, Abbes Laghrour University of Khenchela, Khenchela 40004, Algeria
Salah-Eddine Rebiai: LTM, Faculty of Mathematics and Computer Science, University of Batna 2, Batna 05078, Algeria

Mathematics, 2025, vol. 13, issue 23, 1-14

Abstract: We study an exact controllability problem for a system governed by the heat equation with Neumann boundary control and boundary noise. We reduce the control problem to a moment problem for which we establish sufficient conditions for its resolution.

Keywords: heat equation; exact controllability; Neumann boundary control; boundary white noise; moment problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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