@inproceedings{5641db8c4f1e4d23abf1ece18550f979,
title = "Low frequency resolvent estimates for Dirichlet Laplacian on exterior domains",
abstract = "This paper is devoted to proving low frequency resolvent estimates for wave equation on exterior domains. These estimates are basis of the proof of local energy decay, smoothing estimates and Strichartz estimates for wave equation. The method of proof is based on the cut-off technique combined with uniform resolvent estimates for the free Hamiltonian.",
author = "Vladimir Georgiev and Tokio Matsuyama",
note = "Funding Information: The first author is supported in part by INDAM, GNAMPA - Gruppo Nazionale per l{\textquoteright}Analisi Matematica, la Prob-abilita e le loro Applicazioni, by Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, by Top Global University Project, Waseda University, the Project PRA 2018 49 of University of Pisa and project ”Dinamica di equazioni nonlineari dispersive”, ”Fondazione di Sardegna” , 2016. The second author was supported by Grant-in-Aid for Scientific Research (C) (18K03377), Japan Society for the Promotion of Science. Publisher Copyright: {\textcopyright} 2019 Author(s).; 45th International Conference on Application of Mathematics in Engineering and Economics, AMEE 2019 ; Conference date: 07-06-2019 Through 13-06-2019",
year = "2019",
month = nov,
day = "13",
doi = "10.1063/1.5133501",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Vesela Pasheva and Nedyu Popivanov and George Venkov",
booktitle = "Proceedings of the 45th International Conference on Application of Mathematics in Engineering and Economics, AMEE 2019",
}