Low frequency resolvent estimates for Dirichlet Laplacian on exterior domains

Vladimir Georgiev, Tokio Matsuyama

研究成果: Conference contribution

抜粋

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.

元の言語English
ホスト出版物のタイトルProceedings of the 45th International Conference on Application of Mathematics in Engineering and Economics, AMEE 2019
編集者Vesela Pasheva, Nedyu Popivanov, George Venkov
出版者American Institute of Physics Inc.
ISBN(電子版)9780735419193
DOI
出版物ステータスPublished - 2019 11 13
イベント45th International Conference on Application of Mathematics in Engineering and Economics, AMEE 2019 - Sozopol, Bulgaria
継続期間: 2019 6 72019 6 13

出版物シリーズ

名前AIP Conference Proceedings
2172
ISSN(印刷物)0094-243X
ISSN(電子版)1551-7616

Conference

Conference45th International Conference on Application of Mathematics in Engineering and Economics, AMEE 2019
Bulgaria
Sozopol
期間19/6/719/6/13

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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  • これを引用

    Georgiev, V., & Matsuyama, T. (2019). Low frequency resolvent estimates for Dirichlet Laplacian on exterior domains. : V. Pasheva, N. Popivanov, & G. Venkov (版), Proceedings of the 45th International Conference on Application of Mathematics in Engineering and Economics, AMEE 2019 [030012] (AIP Conference Proceedings; 巻数 2172). American Institute of Physics Inc.. https://doi.org/10.1063/1.5133501