期刊论文

Zhao, Yue

英文

应用数学学报：英文版

0168-9673

2020

36

1

134-150

10.1007/s10255-020-0917-4

35R30 35L05 publisher-imprint-name Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society, co-publsihed with Springer volume-issue-count 4 issue-article-count 14 issue-toc-levels 0 issue-pricelist-year 2020 issue-copyright-holder Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature issue-copyright-year 2020 article-contains-esm No article-numbering-style Unnumbered article-registration-date-year 2020 article-registration-date-month 1 article-registration-date-day 1 article-toc-levels 0 toc-levels 0 volume-type Regular journal-product ArchiveJournal numbering-style Unnumbered article-grants-type Regular metadata-grant OpenAccess abstract-grant OpenAccess bodypdf-grant Restricted bodyhtml-grant Restricted bibliography-grant Restricted esm-grant OpenAccess online-first false pdf-file-reference BodyRef/PDF/10255_2020_Article_917.pdf pdf-type Typeset target-type OnlinePDF issue-online-date-year 2019 issue-online-date-month 12 issue-online-date-day 27 issue-type Regular article-type OriginalPaper journal-subject-primary Mathematics journal-subject-secondary Applications of Mathematics journal-subject-secondary Math Applications in Computer Science journal-subject-secondary Theoretical, Mathematical and Computational Physics journal-subject-collection Mathematics and Statistics open-access false The work of G. Hu is supported by the National Natural Science Foundation of China (No. 11671028) and the NSAF grant (No. U1930402) in the National Natural Science Foundation of China. The work of Y. Kian is supported by the French National Research Agency ANR (project MultiOnde) grant ANR-17-CE40-0029.

本校为通讯机构

This paper is concerned with inverse acoustic source problems in an unbounded domain with dynamical boundary surface data of Dirichlet kind. The measurement data are taken at a surface far away from the source support. We prove uniqueness in recovering source terms of the form f(x)g(t) and f(x1, x2, t)h(x3), where g(t) and h(x3) are given and x = (x1, x2, x3) is the spatial variable in three dimensions. Without these a priori information, we prove that the boundary data of a family of solutions can be used to recover general source terms depend...