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math.OC2026
Stability for the stochastic heat equation with multiplicative noise via finite-dimensional feedback
Víctor Hernández-Santamaría, Kévin Le Balc'h, Liliana Peralta
In this paper, we study the long-time behavior of a stochastic heat equation with a class of infinite-dimensional multiplicative noises and localized control. We first illustrate t…
math.AP2026
Global controllability of the Cahn-Hilliard equation
Víctor Hernández-Santamaría, Subrata Majumdar, Luz de Teresa
This paper investigates global controllability properties of the Cahn-Hilliard equation with a standard polynomial double-well potential, posed on the -dimensional flat torus $\…