$L^p$-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…