Prof. LIU Hongyu (劉宏宇)

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Research Output

  1. 2021
  2. Published

    On corners scattering stably and stable shape determination by a single far-field pattern

    Blasten, E. & Liu, H., 2021, In: Indiana University Mathematics Journal. 70, 3, p. 907-947

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 15
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  3. Published

    ON NOVEL GEOMETRIC STRUCTURES OF LAPLACIAN EIGENFUNCTIONS IN ℝ3 AND APPLICATIONS TO INVERSE PROBLEMS

    CAO, X., DIAO, H., LIU, H. & ZOU, J., 2021, In: SIAM Journal on Mathematical Analysis. 53, 2, p. 1263-1294

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 7
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  4. Published

    On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications

    Diao, H., Cao, X. & Liu, H., 2021, In: Communications in Partial Differential Equations. 46, 4, p. 630-679

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 26
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  5. Published

    Scattering by curvatures, radiationless sources, transmission eigenfunctions, and inverse scattering problems

    BLÅSTEN, E. L. K. & LIU, H., 2021, In: SIAM Journal on Mathematical Analysis. 53, 4, p. 3801-3837

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 28
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  6. Published

    Surface-Localized Transmission Eigenstates, Super-resolution Imaging, and Pseudo Surface Plasmon Modes

    Chow, Y. T., Deng, Y., He, Y., Liu, H. & Wang, X., 2021, In: SIAM Journal on Imaging Sciences. 14, 3, p. 946-975

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

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  7. 2020
  8. Published

    Determining a Piecewise Conductive Medium Body by a Single Far-Field Measurement

    Cao, X., Diao, H. & Liu, H., Dec 2020, In: CSIAM Transactions on Applied Mathematics. 1, 4, p. 740-765

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

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  9. Published

    IDENTIFYING VARYING MAGNETIC ANOMALIES USING GEOMAGNETIC MONITORING

    Deng, Y., Liu, H. & Tsui, W., Nov 2020, In: Discrete and Continuous Dynamical Systems. 40, 11, p. 6411-6440

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 4
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  10. Published

    On nodal and generalized singular structures of Laplacian eigenfunctions and applications to inverse scattering problems

    Cao, X., Diao, H., Liu, H. & Zou, J., Nov 2020, In: Journal de Mathematiques Pures et Appliquees. 143, p. 116-161

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 18
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  11. Published

    On generalized Holmgren’s principle to the Lamé operator with applications to inverse elastic problems

    Diao, H., Liu, H. & Wang, L., Oct 2020, In: Calculus of Variations and Partial Differential Equations. 59, 5, 179.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 21
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  12. Published

    A neural network scheme for recovering scattering obstacles with limited phaseless far-field data

    Yin, W., Yang, W. & Liu, H., 15 Sep 2020, In: Journal of Computational Physics. 417, 109594.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 36
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  13. Published

    Recovering piecewise constant refractive indices by a single far-field pattern

    Blasten, E. & Liu, H., Aug 2020, In: Inverse Problems. 36, 8, 085005.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 26
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  14. Published

    Spectral Properties of Neumann-Poincaré Operator and Anomalous Localized Resonance in Elasticity Beyond Quasi-Static Limit

    Deng, Y., Li, H. & Liu, H., Aug 2020, In: Journal of Elasticity. 140, 2, p. 213–242

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 14
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  15. Published

    Stable determination of polygonal inclusions in Calderón's problem by a single partial boundary measurement

    Liu, H. & Tsou, C., Aug 2020, In: Inverse Problems. 36, 8, 085010.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 15
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  16. Published

    UNIQUE DETERMINATIONS IN INVERSE SCATTERING PROBLEMS WITH PHASELESS NEAR-FIELD MEASUREMENTS

    ZHANG, D., GUO, Y., SUN, F. & LIU, H., Jun 2020, In: Inverse Problems and Imaging. 14, 3, p. 569-582

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 10
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  17. Published

    LOCALIZATION AND GEOMETRIZATION IN PLASMON RESONANCES AND GEOMETRIC STRUCTURES OF NEUMANN-POINCARE EIGENFUNCTIONS

    BLASTEN, E., LI, H., LIU, H. & WANG, Y., May 2020, In: Mathematical Modelling and Numerical Analysis. 54, 3, p. 957-976

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 14
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  18. On Identifying Magnetized Anomalies Using Geomagnetic Monitoring Within a Magnetohydrodynamic model

    Deng, Y., Li, J. & Liu, H., Jan 2020, In: Archive for Rational Mechanics and Analysis. 235, 1, p. 691-721

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 16
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  19. Published

    ANALYSIS OF SURFACE POLARITON RESONANCE FOR NANOPARTICLES IN ELASTIC SYSTEM

    Deng, Y., Li, H. & Liu, H., 2020, In: SIAM Journal on Mathematical Analysis. 52, 2, p. 1786-1805

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 14
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  20. 2019

  21. On a novel inverse scattering scheme using resonant modes with enhanced imaging resolution

    Liu, H., Liu, X., Wang, X. & Wang, Y., Dec 2019, In: Inverse Problems. 35, 12, 125012.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 5
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  22. Fourier method for identifying electromagnetic sources with multi-frequency far-field data

    Wang, X., Song, M., Guo, Y., Li, H. & Liu, H., 1 Oct 2019, In: Journal of Computational and Applied Mathematics. 358, p. 279-292

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 9
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  23. On an inverse boundary problem arising in brain imaging

    Deng, Y., Liu, H. & Uhlmann, G., 5 Aug 2019, In: Journal of Differential Equations. 267, 4, p. 2471-2502

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 19
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