2 papers
math.OC2026
Stability for the stochastic heat equation with multiplicative noise via finite-dimensional feedback
VÃctor Hernández-SantamarÃa, Kévin Le Balc'h, Liliana Peralta
In this paper, we study the long-time behavior of a stochastic heat equation with multiplicative noise and localized control. We begin by analyzing the uncontrolled dynamics and de…
math.AP2026
-estimates, local well-posedness and controllability for linear and semilinear backward SPDEs
VÃctor Hernández-SantamarÃa, 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…