Lin, Yi-Hsuan; Liu, Hongyu; Liu, Xu Determining a nonlinear hyperbolic system with unknown sources and nonlinearity. (English) Zbl 07811236 J. Lond. Math. Soc., II. Ser. 109, No. 2, Article ID e12865, 39 p. (2024). MSC: 35R30 35L20 35L71 78A05 PDFBibTeX XMLCite \textit{Y.-H. Lin} et al., J. Lond. Math. Soc., II. Ser. 109, No. 2, Article ID e12865, 39 p. (2024; Zbl 07811236) Full Text: DOI arXiv
He, Youzi; Liu, Hongyu; Wang, Xianchao A novel quantitative inverse scattering scheme using interior resonant modes. (English) Zbl 1518.35674 Inverse Probl. 39, No. 8, Article ID 085002, 24 p. (2023). MSC: 35R30 35J25 35P25 78A46 PDFBibTeX XMLCite \textit{Y. He} et al., Inverse Probl. 39, No. 8, Article ID 085002, 24 p. (2023; Zbl 1518.35674) Full Text: DOI arXiv
Lin, Yi-Hsuan; Liu, Hongyu; Liu, Xu; Zhang, Shen Simultaneous recoveries for semilinear parabolic systems. (English) Zbl 1498.35620 Inverse Probl. 38, No. 11, Article ID 115006, 39 p. (2022). MSC: 35R30 35K20 35K58 PDFBibTeX XMLCite \textit{Y.-H. Lin} et al., Inverse Probl. 38, No. 11, Article ID 115006, 39 p. (2022; Zbl 1498.35620) 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
Liu, Hongyu On local and global structures of transmission eigenfunctions and beyond. (English) Zbl 1486.35320 J. Inverse Ill-Posed Probl. 30, No. 2, 287-305 (2022). MSC: 35P30 35P05 35P10 35P20 35P25 35R30 81V80 78A40 74J20 PDFBibTeX XMLCite \textit{H. Liu}, J. Inverse Ill-Posed Probl. 30, No. 2, 287--305 (2022; Zbl 1486.35320) Full Text: DOI arXiv
Blåsten, Emilia L. K.; Liu, Hongyu Scattering by curvatures, radiationless sources, transmission eigenfunctions, and inverse scattering problems. (English) Zbl 1479.35838 SIAM J. Math. Anal. 53, No. 4, 3801-3837 (2021). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q60 78A46 35P25 78A05 81U40 PDFBibTeX XMLCite \textit{E. L. K. Blåsten} and \textit{H. Liu}, SIAM J. Math. Anal. 53, No. 4, 3801--3837 (2021; Zbl 1479.35838) Full Text: DOI arXiv
Deng, Youjun; Li, Hongjie; Liu, Hongyu Analysis of surface polariton resonance for nanoparticles in elastic system. (English) Zbl 1436.35034 SIAM J. Math. Anal. 52, No. 2, 1786-1805 (2020). MSC: 35B34 35Q74 74J20 PDFBibTeX XMLCite \textit{Y. Deng} et al., SIAM J. Math. Anal. 52, No. 2, 1786--1805 (2020; Zbl 1436.35034) Full Text: DOI arXiv
Cao, Xinlin; Lin, Yi-Hsuan; Liu, Hongyu Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators. (English) Zbl 1407.35225 Inverse Probl. Imaging 13, No. 1, 197-210 (2019). MSC: 35R30 35R11 35J10 PDFBibTeX XMLCite \textit{X. Cao} et al., Inverse Probl. Imaging 13, No. 1, 197--210 (2019; Zbl 1407.35225) Full Text: DOI arXiv
Liu, Hongyu; Xiao, Jingni Decoupling elastic waves and its applications. (English) Zbl 1368.74029 J. Differ. Equations 263, No. 8, 4442-4480 (2017). MSC: 74J20 35R30 58J50 74B05 PDFBibTeX XMLCite \textit{H. Liu} and \textit{J. Xiao}, J. Differ. Equations 263, No. 8, 4442--4480 (2017; Zbl 1368.74029) Full Text: DOI arXiv
Hu, Guanghui; Liu, Hongyu Nearly cloaking the elastic wave fields. (English. French summary) Zbl 1327.74026 J. Math. Pures Appl. (9) 104, No. 6, 1045-1074 (2015). MSC: 74B05 35R30 35J25 74J20 PDFBibTeX XMLCite \textit{G. Hu} and \textit{H. Liu}, J. Math. Pures Appl. (9) 104, No. 6, 1045--1074 (2015; Zbl 1327.74026) Full Text: DOI arXiv
Li, Jingzhi; Liu, Hongyu Recovering a polyhedral obstacle by a few backscattering measurements. (English) Zbl 1330.78013 J. Differ. Equations 259, No. 5, 2101-2120 (2015). Reviewer: Robert F. Remis (Delft) MSC: 78A46 35Q60 PDFBibTeX XMLCite \textit{J. Li} and \textit{H. Liu}, J. Differ. Equations 259, No. 5, 2101--2120 (2015; Zbl 1330.78013) Full Text: DOI arXiv
Hu, Guanghui; Li, Jingzhi; Liu, Hongyu Recovering complex elastic scatterers by a single far-field pattern. (English) Zbl 1432.35197 J. Differ. Equations 257, No. 2, 469-489 (2014). MSC: 35Q74 35P25 35R30 74J20 74J25 PDFBibTeX XMLCite \textit{G. Hu} et al., J. Differ. Equations 257, No. 2, 469--489 (2014; Zbl 1432.35197) Full Text: DOI
Li, Jingzhi; Liu, Hongyu; Sun, Hongpeng; Zou, Jun Reconstructing acoustic obstacles by planar and cylindrical waves. (English) Zbl 1452.76221 J. Math. Phys. 53, No. 10, 103705, 19 p. (2012). MSC: 76Q05 62D05 PDFBibTeX XMLCite \textit{J. Li} et al., J. Math. Phys. 53, No. 10, 103705, 19 p. (2012; Zbl 1452.76221) Full Text: DOI