Exact Controllability of the Heat Equation with Boundary Control and Boundary Noise
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Date
2025
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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
MSC: 93E03; 35K20; 60H15