Évènement

Abstract: Moreau’s sweeping process is a dynamical system modeled by a deterministic differential inclusion, describing the evolution of a point « swept » along the boundary of a moving set. Using this framework, we demonstrate the existence of both weak and strong solutions for stochastic differential equations with normal reflection at the boundary of non-smooth, moving domains. The primary assumption of our approach is the continuity of the moving sets with respect to the Hausdorff distance, complemented by additional regularity conditions introduced throughout the talk.