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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 $\…
math.AP2024
-estimates, local well-posedness and controllability for linear and semilinear backward SPDEs
Víctor Hernández-Santamaría, Kévin Le Balc'h, Liliana Peralta
In this paper, we study linear backward parabolic SPDEs in bounded domains and present new a priori estimates for their weak solutions. Inspired by the seminal work of Y. Hu, J. Ma…