Soffer, AvyWu, Xiaoxu2026-07-032026-07-030003-9527ORCID:/0000-0003-2972-8153/work/219173144https://hdl.handle.net/1885/733812642We give a proof of local decay estimates for Schrödinger-type equations, which is based on the knowledge of Asymptotic Completeness. This approach extends to time dependent potential perturbations, as it does not rely on Resolvent Estimates or related methods. Global in time Strichartz estimates follow for quasi-periodic time-dependent potentials from our results.A.S. is partially supported by NSF-DMS-220931. X.W. is partially supported by ARC-FL220100072, NSF-DMS-220931 and NSERC Grant NA7901. The authors thank Maxime Van de Moortel for careful reading and for useful discussions. Parts of this work were done while the second author was at the Fields Institute for Research in Mathematical Sciences, Toronto, Texas A&M University, Rutgers University and University of Toronto.enPublisher Copyright: © The Author(s) 2025.202510.1007/s00205-025-02089-w85218845798