Diao, Huaian; Geng, Yueran; Liu, Hongyu; Yu, Qinghua Geometrical characterizations of non-radiating sources at polyhedral and conical corners with applications. (English) Zbl 07812210 Commun. Math. Res. 39, No. 4, 523-538 (2023). MSC: 35Q60 78A46 PDFBibTeX XMLCite \textit{H. Diao} et al., Commun. Math. Res. 39, No. 4, 523--538 (2023; Zbl 07812210) Full Text: DOI
Diao, Huaian; Liu, Hongyu Spectral geometry and inverse scattering theory. (English) Zbl 07756335 Cham: Springer (ISBN 978-3-031-34614-9/hbk; 978-3-031-34617-0/pbk; 978-3-031-34615-6/ebook). x, 387 p. (2023). MSC: 58-02 35-02 58J50 35R30 PDFBibTeX XMLCite \textit{H. Diao} and \textit{H. Liu}, Spectral geometry and inverse scattering theory. Cham: Springer (2023; Zbl 07756335) Full Text: DOI
Diao, Huaian; Li, Hongjie; Liu, Hongyu; Tang, Jiexin Spectral properties of an acoustic-elastic transmission eigenvalue problem with applications. (English) Zbl 1520.35109 J. Differ. Equations 371, 629-659 (2023). Reviewer: Andreas Kleefeld (Jülich) MSC: 35P25 35C20 35J57 PDFBibTeX XMLCite \textit{H. Diao} et al., J. Differ. Equations 371, 629--659 (2023; Zbl 1520.35109) Full Text: DOI arXiv
Diao, Huaian; Tang, Ruixiang; Liu, Hongyu; Tang, Jiexin Unique determination by a single far-field measurement for an inverse elastic problem. arXiv:2311.16435 Preprint, arXiv:2311.16435 [math.AP] (2023). MSC: 35R30 74J20 86A22 BibTeX Cite \textit{H. Diao} et al., ``Unique determination by a single far-field measurement for an inverse elastic problem'', Preprint, arXiv:2311.16435 [math.AP] (2023) Full Text: arXiv OA License
Diao, Huaian; Liu, Hongyu; Meng, Qingle Dislocations with corners in an elastic body with applications to fault detection. arXiv:2309.09706 Preprint, arXiv:2309.09706 [math.AP] (2023). BibTeX Cite \textit{H. Diao} et al., ``Dislocations with corners in an elastic body with applications to fault detection'', Preprint, arXiv:2309.09706 [math.AP] (2023) Full Text: arXiv OA License
Diao, Huaian; Liu, Hongyu; Tao, Longyue Stable determination of an impedance obstacle by a single far-field measurement. arXiv:2302.01083 Preprint, arXiv:2302.01083 [math.AP] (2023). MSC: 35Q60 35R30 35P25 78A46 BibTeX Cite \textit{H. Diao} et al., ``Stable determination of an impedance obstacle by a single far-field measurement'', Preprint, arXiv:2302.01083 [math.AP] (2023) Full Text: arXiv OA License
Cao, Xinlin; Diao, Huaian; Liu, Hongyu; Zou, Jun Two single-measurement uniqueness results for inverse scattering problems within polyhedral geometries. (English) Zbl 1512.35655 Inverse Probl. Imaging 16, No. 6, 1501-1528 (2022). MSC: 35R30 35J25 35P25 78A46 PDFBibTeX XMLCite \textit{X. Cao} et al., Inverse Probl. Imaging 16, No. 6, 1501--1528 (2022; Zbl 1512.35655) Full Text: DOI arXiv
Bai, Zhengjian; Diao, Huaian; Liu, Hongyu; Meng, Qingle Stable determination of an elastic medium scatterer by a single far-field measurement and beyond. (English) Zbl 1501.35390 Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 170, 23 p. (2022). Reviewer: Adina Chirila (Braşov) MSC: 35Q74 74J25 74J20 74B20 74G75 35P25 PDFBibTeX XMLCite \textit{Z. Bai} et al., Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 170, 23 p. (2022; Zbl 1501.35390) Full Text: DOI arXiv
Meng, Qingle; Bai, Zhengjian; Diao, Huaian; Liu, Hongyu Effective medium theory for embedded obstacles in elasticity with applications to inverse problems. (English) Zbl 1495.35024 SIAM J. Appl. Math. 82, No. 2, 720-749 (2022). Reviewer: Yixian Gao (Changchun) MSC: 35B34 35A15 35J57 35P25 35R30 74J20 PDFBibTeX XMLCite \textit{Q. Meng} et al., SIAM J. Appl. Math. 82, No. 2, 720--749 (2022; Zbl 1495.35024) Full Text: DOI arXiv
Diao, Huaian; Liu, Hongyu; Wang, Li Further results on generalized Holmgren’s principle to the Lamé operator and applications. (English) Zbl 1483.35250 J. Differ. Equations 309, 841-882 (2022). MSC: 35Q74 74J20 74J25 74B05 35B34 35J57 35R30 PDFBibTeX XMLCite \textit{H. Diao} et al., J. Differ. Equations 309, 841--882 (2022; Zbl 1483.35250) Full Text: DOI arXiv
Diao, Huaian; Fei, Xiaoxu; Liu, Hongyu; Wang, Li Determining anomalies in a semilinear elliptic equation by a minimal number of measurements. arXiv:2206.02500 Preprint, arXiv:2206.02500 [math.AP] (2022). BibTeX Cite \textit{H. Diao} et al., ``Determining anomalies in a semilinear elliptic equation by a minimal number of measurements'', Preprint, arXiv:2206.02500 [math.AP] (2022) Full Text: arXiv OA License
Diao, Huaian; Fei, Xiaoxu; Liu, Hongyu Local geometric properties of conductive transmission eigenfunctions and applications. arXiv:2206.01933 Preprint, arXiv:2206.01933 [math.AP] (2022). BibTeX Cite \textit{H. Diao} et al., ``Local geometric properties of conductive transmission eigenfunctions and applications'', Preprint, arXiv:2206.01933 [math.AP] (2022) Full Text: arXiv OA License
Diao, Huaian; Fei, Xiaoxu; Liu, Hongyu; Yang, Ke Visibility, invisibility and unique recovery of inverse electromagnetic problems with conical singularities. arXiv:2204.02835 Preprint, arXiv:2204.02835 [math.AP] (2022). BibTeX Cite \textit{H. Diao} et al., ``Visibility, invisibility and unique recovery of inverse electromagnetic problems with conical singularities'', Preprint, arXiv:2204.02835 [math.AP] (2022) Full Text: arXiv OA License
Diao, Huaian; Liu, Hongyu; Wang, Xianchao; Yang, Ke On vanishing and localizing around corners of electromagnetic transmission resonances. (English) Zbl 1477.78003 SN Partial Differ. Equ. Appl. 2, No. 6, Paper No. 78, 20 p. (2021). MSC: 78A46 35P30 76M10 PDFBibTeX XMLCite \textit{H. Diao} et al., SN Partial Differ. Equ. Appl. 2, No. 6, Paper No. 78, 20 p. (2021; Zbl 1477.78003) Full Text: DOI
Diao, Huaian; Liu, Hongyu; Sun, Baiyi On a local geometric property of the generalized elastic transmission eigenfunctions and application. (English) Zbl 1479.35286 Inverse Probl. 37, No. 10, 36 p. (2021). MSC: 35J15 35P25 PDFBibTeX XMLCite \textit{H. Diao} et al., Inverse Probl. 37, No. 10, 36 p. (2021; Zbl 1479.35286) Full Text: DOI arXiv
Diao, Huaian; Cao, Xinlin; Liu, Hongyu On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications. (English) Zbl 1475.35328 Commun. Partial Differ. Equations 46, No. 4, 630-679 (2021). MSC: 35Q60 78A46 35P25 78A05 81U40 35A02 35Q30 PDFBibTeX XMLCite \textit{H. Diao} et al., Commun. Partial Differ. Equations 46, No. 4, 630--679 (2021; Zbl 1475.35328) Full Text: DOI arXiv
Cao, Xinlin; Diao, Huaian; Liu, Hongyu; Zou, Jun On novel geometric structures of Laplacian eigenfunctions in \(\mathbb{R}^3\) and applications to inverse problems. (English) Zbl 1461.35167 SIAM J. Math. Anal. 53, No. 2, 1263-1294 (2021). Reviewer: Andreas Kleefeld (Jülich) MSC: 35P05 35P25 35R30 35Q60 PDFBibTeX XMLCite \textit{X. Cao} et al., SIAM J. Math. Anal. 53, No. 2, 1263--1294 (2021; Zbl 1461.35167) Full Text: DOI arXiv
Diao, Huaian; Liu, Hongyu; Zhang, Long; Zou, Jun Unique continuation from a generalized impedance edge-corner for Maxwell’s system and applications to inverse problems. (English) Zbl 1456.35192 Inverse Probl. 37, No. 3, Article ID 035004, 32 p. (2021). MSC: 35Q61 35R30 PDFBibTeX XMLCite \textit{H. Diao} et al., Inverse Probl. 37, No. 3, Article ID 035004, 32 p. (2021; Zbl 1456.35192) Full Text: DOI arXiv
Cao, Xinlin; Diao, Huaian; Liu, Hongyu; Zou, Jun On nodal and generalized singular structures of Laplacian eigenfunctions and applications to inverse scattering problems. (English. French summary) Zbl 1452.35120 J. Math. Pures Appl. (9) 143, 116-161 (2020). Reviewer: Khanlar R. Mamedov (Mersin) MSC: 35P05 35P25 35R30 35Q60 PDFBibTeX XMLCite \textit{X. Cao} et al., J. Math. Pures Appl. (9) 143, 116--161 (2020; Zbl 1452.35120) Full Text: DOI arXiv
Diao, Huaian; Liu, Hongyu; Wang, Li On generalized Holmgren’s principle to the Lamé operator with applications to inverse elastic problems. (English) Zbl 1450.35290 Calc. Var. Partial Differ. Equ. 59, No. 5, Paper No. 179, 49 p. (2020). MSC: 35R30 35B34 74J20 35A27 35P05 35J57 PDFBibTeX XMLCite \textit{H. Diao} et al., Calc. Var. Partial Differ. Equ. 59, No. 5, Paper No. 179, 49 p. (2020; Zbl 1450.35290) Full Text: DOI arXiv
Cao, Xinlin; Diao, Huaian; Liu, Hongyu Determining a piecewise conductive medium body by a single far-field measurement. arXiv:2005.04420 Preprint, arXiv:2005.04420 [math.AP] (2020). MSC: 35Q60 78A46 35P25 78A05 81U40 BibTeX Cite \textit{X. Cao} et al., ``Determining a piecewise conductive medium body by a single far-field measurement'', Preprint, arXiv:2005.04420 [math.AP] (2020) Full Text: arXiv OA License