CORRIGENDUM TO: “DUALITY BETWEEN RANGE AND NO-RESPONSE TESTS AND ITS APPLICATION FOR INVERSE PROBLEMS” (Inverse Problems and Imaging, 15 (2021),367-386)

Yi Hsuan Lin, Gen Nakamura*, Roland Potthast, Haibing Wang

*此作品的通信作者

研究成果: Comment/debate

1 引文 斯高帕斯(Scopus)

摘要

In the proof of Proposition A.2 of Appendix in our published paper [1], we used the continuity of the normal derivative of q(x) at @G. This is not true because q(x) is not a double layer potential. A correct proof can be given as follows: Let R(') = 0 with ' 2 H 1=2(@G). Then z = S['] satisfies (Formula Presented). By the unique continuation property of solutions of the Laplace equation, we have S['] = z = 0 on @G. Then by the bijectivity of S : H-1,2(@G) ! H-1,2(@G) given in Proposition A.1, we have ' = 0, which proves the injectivity of R.

原文English
頁(從 - 到)907
頁數1
期刊Inverse Problems and Imaging
17
發行號4
DOIs
出版狀態Published - 8月 2023

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