科研成果 |
文章:</br> 1. Hongyu Liu and <b>Catharine W. K. Lo</b>*. Simultaneously decoding the unknown stationary state and function parameters for mean field games. <i>arXiv:2501.11955</i></br> 2. Ming-Hui Ding, Hongyu Liu and <b>Catharine W. K. Lo</b>*. Inverse problems for coupled nonlocal non-linear systems arising in mathematical biology. <i>arXiv:2407.15713</i></br> 3. Hongyu Liu*, <b>Catharine W. K. Lo</b> and Shen Zhang. Decoding a mean field game by the Cauchy data around its unknown stationary states. <i>arXiv:2405.18943. Journal of the London Mathematical Society</i>, in press</br> 4. Ching-Lung Lin, Hongyu Liu and <b>Catharine W. K. Lo</b>*. Uniqueness principle for fractional (non)-coercive anisotropic polyharmonic operators and applications to inverse problems. <i>arXiv: 2307.00744. Inverse Problems and Imaging</i>, 19(4): 795–815. August 2025. DOI: 10.3934/ipi.2024054 </br> 5. Hongyu Liu* and <b>Catharine W. K. Lo</b>. Determining state space anomalies in mean field games. <i>arXiv:2405.18954. Nonlinearity</i>, 38(2): 025010, January 2025. DOI: 10.1088/1361-6544/ada67d</br> 6. <b>Catharine W. K. Lo</b>* and José Francisco Rodrigues. On the stability of the <i>s</i>-nonlocal <i>p</i>-obstacle problem and their coincidence sets and free boundaries. <i>arXiv:2402.18106. Bulletin of the Brazilian Mathematical Society, New Series</i>, 56(14): 1–26, January 2025. DOI: 10.1007/s00574-025-00439-6 </br> 7. Yuhan Li, Hongyu Liu and <b>Catharine W. K. Lo</b>*. On inverse problems in multi-population aggregation models. <i>arXiv:2404.09837. Journal of Differential Equations</i>, 414C: 94–124, January 2025. DOI: 10.1016/j.jde.2024.08.075</br> 8. Ming-Hui Ding, Rongfang Gong, Hongyu Liu and <b>Catharine W. K. Lo</b>*. Determining sources in the bioluminescence tomography problem. <i>arXiv: 2311.05191. Inverse Problems</i>, 40(12): 125022, November 2024. DOI: 10.1088/1361-6420/ad934c </br> 9. <b>Catharine W. K. Lo</b>* and José Francisco Rodrigues. On the obstacle problem in fractional generalised Orlicz spaces. <i>arXiv:2405.17014. Mathematics in Engineering</i>, 6(5): 676–704, September 2024. DOI: 10.3934/mine.2024026</br> 10. Yuhan Li, Hongyu Liu and <b>Catharine W. K. Lo</b>*. On inverse problems in predator-prey models. <i>arXiv: 2312.09653. Journal of Differential Equations</i>, 397C: 349–376, July 2024. DOI: 10.1016/j.jde.2024.04.009 </br> 11. <b>Catharine W. K. Lo</b>* and José Francisco Rodrigues. Global existence for nonlocal quasilinear diffusion systems in nonisotropic nondivergence form. <i>arXiv: 2206.11415. Mathematische Nachrichten</i>, 297(6): 2122–2147, June 2024. DOI: 10.1002/mana.202200250 </br> 12. Jun Shen, Rongfang Gong, Chunxiao Chen*, Liang Wang, Zhe Lin, <b>Catharine W. K. Lo</b>* and Ming Lu*. Tumor Treating Fields: Modeling and a numerical algorithm. <i>Communications on Analysis and Computation</i>, 2(2): 159–179, June 2024. DOI: 10.3934/cac.2024008</br> 13. Yuhan Li and <b>Catharine W. K. Lo</b>*. On the simultaneous recovery of environmental factors in the 3D chemotaxis-Navier-Stokes models. <i>Communications on Analysis and Computation</i>, 2(1): 30–47, March 2024. DOI: 10.3934/cac.2024003 </br> 14. Hongyu Liu and <b>Catharine W. K. Lo</b>*. Determining a parabolic system by boundary observation of its non-negative solutions with biological applications. <i>arXiv: 2303.13045. Inverse Problems</i>, 40(2): 025009, February 2024. DOI: 10.1088/1361-6420/ad149f </br> 15. <b>Catharine W. K. Lo</b> and José Francisco Rodrigues. On a class of nonlocal obstacle type problems related to the distributional Riesz fractional derivative. <i>arXiv: 2101.06863. Portugaliae Mathematica</i>, 80(1/2): 157–205, April 2023. DOI: 10.4171/PM/2100 </br> 16. <b>Catharine W. K. Lo</b>* and José Francisco Rodrigues. On an anisotropic fractional Stefan-type problem with Dirichlet boundary conditions. <i>arXiv: 2201.07827. Mathematics in Engineering</i>, 5(3):1–38, August 2022. DOI: 10.3934/mine.2023047 </br></br> 著作:</br> 1. Hongyu Liu, <b>Catharine W. K. Lo</b>* and Shen Zhang. Inverse Problems for Mean Field Games. <i>arXiv:2503.14914</i></br> |
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