4 papers
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…
Global controllability of the Cahn-Hilliard equation
Víctor Hernández-Santamaría, Subrata Majumdar, Luz de Teresa
This paper investigates the global controllability properties of the Cahn--Hilliard equation posed on the -dimensional flat torus . We first establish small-time g…
On the controllability of the Kuramoto-Sivashinsky equation on multi-dimensional cylindrical domains
Víctor Hernández-Santamaría, Subrata Majumdar
In this article, we investigate null controllability of the Kuramoto-Sivashinsky (KS) equation on a cylindrical domain in , where …
-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…