@article{194e39071ca34525aff093b368580bbd,
title = "Endpoint Strichartz estimates for charge transfer Hamiltonians",
abstract = " We prove the optimal Strichartz estimates for Schr{\"o}dinger equations with charge transfer potentials and general source terms in R n for n ≥ 3. The proof is based on asymptotic completeness for the charge transfer models and the (weak) point-wise time decay estimates for the scattering states of such systems of Rodnianski, Schlag, and Soffer [41]. The method extends for the matrix charge transfer problems. ",
keywords = "Asymptotic completeness, Charge transfer model, Endpoint strichartz estimates",
author = "Qingquan Deng and Avy Soffer and Xiaohua Yao",
note = "Funding Information: Acknowledgements. The authors would like to express their sincere gratitude to the reviewing referee for the many constructive comments which helped us improve the previous version. The first author is supported by the National Natural Science Foundation of China (NSFC) (grant nos. 11661061 and 11671163). The second author is partially supported by a grant from the Simons Foundation (395767 to Avraham Soffer), as well as the National Science Foundation (grant nos. NSF-DMS1600749 and NSF-DMS1201394). The third author is supported by the NSFC (grant no. 11371158) and the program for Changjiang Scholars and Innovative Research Team in University (no. IRT13066). Part of this work was done while the first author visited Rutgers University and the second author visited Central China Normal University (CCNU). Funding Information: The authors would like to express their sincere gratitude to the reviewing referee for the many constructive comments which helped us improve the previous version. The first author is supported by the National Natural Science Foundation of China (NSFC) (grant nos. 11661061 and 11671163). The second author is partially supported by a grant from the Simons Foundation (395767 to Avraham Soffer), as well as the National Science Foundation (grant nos. NSF-DMS1600749 and NSF-DMS1201394). The third author is supported by the NSFC (grant no. 11371158) and the program for Changjiang Scholars and Innovative Research Team in University (no. IRT13066). Part of this work was done while the first author visited Rutgers University and the second author visited Central China Normal University (CCNU). Publisher Copyright: {\textcopyright} 2018 Department of Mathematics, Indiana University. All rights reserved.",
year = "2018",
doi = "10.1512/iumj.2018.67.7528",
language = "English (US)",
volume = "67",
pages = "2487--2522",
journal = "Indiana University Mathematics Journal",
issn = "0022-2518",
publisher = "Indiana University",
number = "6",
}