Local Decay Estimates
Abstract We 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.
Authors
- Avy Soffer (ORCID: https://orcid.org/0000-0003-3802-7981)
- Xiaoxu Wu
Institutions
- Rutgers, The State University of New Jersey (US)
- Australian Mathematical Sciences Institute (AU)
Publication Details
- Journal
- Archive for Rational Mechanics and Analysis
- Published
- 2025-02-13
- DOI
- https://doi.org/10.1007/s00205-025-02089-w
- Citations
- 3
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 11.08
Funders
- National Science Foundation
- University of Toronto
- Natural Sciences and Engineering Research Council of Canada
- Division of Mathematical Sciences