2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78410In this article we study the solution of the Kuramoto-Sivashinsky equation (for surface erosion or surface growth) on a bounded interval subject to a random forcing term. We show that a unique solution to the equation exists for all time and depends continuously on the initial data.To appear in: Nonlinear AnalysisDynamical SystemsMathematical PhysicsAnalysis of PDEsFunctional AnalysisProbability60H15, 35R60text