Low frequency resolvent estimates for Dirichlet Laplacian on exterior domains

Vladimir Georgiev, Tokio Matsuyama

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish
Title of host publicationProceedings of the 45th International Conference on Application of Mathematics in Engineering and Economics, AMEE 2019
EditorsVesela Pasheva, Nedyu Popivanov, George Venkov
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735419193
DOIs
Publication statusPublished - 2019 Nov 13
Event45th International Conference on Application of Mathematics in Engineering and Economics, AMEE 2019 - Sozopol, Bulgaria
Duration: 2019 Jun 72019 Jun 13

Publication series

NameAIP Conference Proceedings
Volume2172
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference45th International Conference on Application of Mathematics in Engineering and Economics, AMEE 2019
CountryBulgaria
CitySozopol
Period19/6/719/6/13

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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