Existence of a chattering bang-bang optimal control with infinitely many switching points is shown for a parabolic boundary control problem with terminal observation via Fourier analysis and a new auxiliary result on sign-changing power series.
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A bang-bang solution with infinitely many switching points for a parabolic boundary control problem with terminal observation
Existence of a chattering bang-bang optimal control with infinitely many switching points is shown for a parabolic boundary control problem with terminal observation via Fourier analysis and a new auxiliary result on sign-changing power series.