Finite-dimensional Fourier-mode feedback stabilizes the stochastic heat equation with multiplicative noise in both mean-square and almost sure senses, yielding explicit decay rates and a new controllability proof.
Stochastic partial differential equations
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Stability for the stochastic heat equation with multiplicative noise via finite-dimensional feedback
Finite-dimensional Fourier-mode feedback stabilizes the stochastic heat equation with multiplicative noise in both mean-square and almost sure senses, yielding explicit decay rates and a new controllability proof.