Contents

Preprints

  1. Pu-Zhao Kow and Jenn-Nan Wang, Consistency of Bayesian inference for a subdiffusion equation [preprint information]
  2. Takashi Furuya, Pu-Zhao Kow and Jenn-Nan Wang, Consistency of the Bayes method for the inverse scattering problem with randomly truncated Gaussian priors [preprint information]
  3. Pu-Zhao Kow, Mikko Salo and Sen Zou, Increasing resolution and instability for linear inverse scattering problems [preprint information]
  4. Joonas Ilmavirta, Pu-Zhao Kow and Suman Kumar Sahoo, Unique continuation for the momentum ray transform [preprint information]

Publications

  1. Pu-Zhao Kow and Jenn-Nan Wang, Increasing stability in an inverse boundary value problem - Bayesian viewpoint, 2024 [article information]
    Taiwanese J. Math. (2024), advance publication, 40 pages, doi:10.11650/tjm/240704
  2. Pu-Zhao Kow, Mikko Salo and Henrik Shahgholian, On scattering behavior of corner domains with anisotropic inhomogeneities, 2024 [article information]
    SIAM J. Math. Anal. 56 (2024), Issue 4, 4834-4853, MR4768461, Zbl:7879908, doi:10.1137/23M1603029, arXiv:2309.11213
  3. Pu-Zhao Kow and Henrik Shahgholian, Multi-phase k-quadrature domains and applications to acoustic waves and magnetic fields, 2024 [article information]
    Partial Differ. Equ. Appl. 5 (2024), Paper No. 13, 28 pages, MR4732406, Zbl:7856435, doi:10.1007/s42985-024-00283-1, arXiv:2401.13279. Note: The paper arXiv:2404.05552 appeared after our paper was published.
  4. Pu-Zhao Kow, Mikko Salo and Henrik Shahgholian, A minimization problem with free boundary and its application to inverse scattering problems, 2024 [article information]
    Interfaces Free Bound. 26 (2024), no. 3, 415-471. MR4762088, Zbl:7902359, doi:10.4171/ifb/515, arXiv:2303.12605
  5. Takashi Furuya, Pu-Zhao Kow and Jenn-Nan Wang, Consistency of the Bayes method for the inverse scattering problem, 2024 [article information]
    Inverse Problems 50 (2024), no. 5, Paper No. 055001, 24 pages, MR4723841, Zbl:7867314, doi:10.1088/1361-6420/ad3089
  6. Pu-Zhao Kow, Simon Larson, Mikko Salo and Henrik Shahgholian, Quadrature domains for the Helmholtz equation with applications to non-scattering phenomena, 2024 [article information]
    Potential Anal. 60 (2024), no. 1, 387-424, MR4696043, Zbl:7798456, doi:10.1007/s11118-022-10054-5, JYX:84718. The results in the appendix are well-known, and the proofs can found at arXiv:2204.13934
  7. Pu-Zhao Kow, Mikko Salo and Henrik Shahgholian, On positivity sets for Helmholtz solutions, 2023 [article information]
    Vietnam J. Math. 51 (2023), no. 4, 985-994, MR4669027, Zbl:7785099, doi:10.1007/s10013-023-00646-y, JYX:88937, arXiv:2301.04965, special issue dedicated to Carlos E. Kenig on the occasion of his 70th birthday
  8. Pu-Zhao Kow and Jenn-Nan Wang, Inverse problems for some fractional equations with general nonlinearity, 2023 [article information]
    Res. Math. Sci. 10 (2023), no. 4, Paper No. 45, 33 pages, MR4656890, Zbl:7771748, doi:10.1007/s40687-023-00409-8
  9. Pu-Zhao Kow, Shiqi Ma and Suman Kumar Sahoo, An inverse problem for semilinear equations involving the fractional Laplacian, 2023 [article information]
    Inverse Problems 39 (2023), no. 9, Paper No. 095006, 27 pages, MR4629230, Zbl:7749164, doi:10.1088/1361-6420/ace9f4, arXiv:2201.05407
  10. Pu-Zhao Kow and Jenn-Nan Wang, Landis-type conjecture for the half-Laplacian, 2023 [article information]
    Proc. Amer. Math. Soc. 151 (2023), no. 7, 2951-2962, MR4579369, Zbl:7679782, doi:10.1090/proc/16093, JYX:86915, arXiv:2106.06120
  11. Pu-Zhao Kow, On Landis Conjecture for the Fractional Schrödinger Equation, 2022 [article information]
    J. Spectr. Theory 12 (2022), no. 3, 1023-1077, MR4578344, Zbl:1514.35462, doi:10.4171/jst/433, JYX:86580 ,arXiv:1905.01885
  12. Pu-Zhao Kow, Yi-Hsuan Lin and Jenn-Nan Wang, The Calderón problem for the fractional wave equation: Uniqueness and optimal stability, 2022 [article information]
    SIAM J. Math. Anal. 54 (2022), no. 3, 3379-3419, MR4434352, Zbl:1492.35427, doi:10.1137/21M1444941, JYX:85312
  13. Pu-Zhao Kow and Jenn-Nan Wang, Refined instability estimates for some inverse problems, 2022 [article information]
    Inverse Probl. Imaging 16 (2022), no. 6, 1619-1642, special issue dedicated to the memory of Victor Isakov, MR4520377, Zbl:07675881, doi:10.3934/ipi.2022017, JYX:83337
  14. Pu-Zhao Kow and Masato Kimura, The Lewy-Stampacchia Inequality for Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations, 2022 [article information]
    Discrete Contin. Dyn. Syst. Ser. B 27 (2022), no. 6, 2935-2957, MR4430602, Zbl:1490.35520, doi:10.3934/dcdsb.2021167, arXiv:1909.00588
  15. Pu-Zhao Kow, Gunther Uhlmann and Jenn-Nan Wang, Optimality of increasing stability for an inverse boundary value problem, 2021 [article information]
    SIAM J. Math. Anal. 53 (2021), no. 6, 7062-7080, MR4354999, Zbl:1483.35086, doi:10.1137/21M1402169, JYX:79644, arXiv:2102.11532
  16. Pu-Zhao Kow and Jenn-Nan Wang, On the characterization of nonradiating sources for the elastic waves in anisotropic inhomogeneous media, 2021 [article information]
    SIAM J. Appl. Math. 81 (2021), no. 4, 1530-1551, MR4295059, Zbl:1473.35198, doi:10.1137/20M1386293
  17. Pu-Zhao Kow and Jenn-Nan Wang, Reconstruction of an impenetrable obstacle in anisotropic inhomogeneous background, 2021 [article information]
    IMA J. Appl. Math. 86 (2021), no. 2, 320-348, Inst. Math. Appl., MR4246858, Zbl:1471.76063, doi:10.1093/imamat/hxab002 [Corrigendum doi:10.1093/imamat/hxab046]
  18. Fioralba Cakoni, Pu-Zhao Kow and Jenn-Nan Wang, The interior transmission eigenvalue problem for elastic waves in media with obstacles, 2021 [article information]
    Inverse Probl. Imaging 15 (2021), no. 3, 445-474, MR4235665, Zbl:1467.35225, doi:10.3934/ipi.2020075
  19. Pu-Zhao Kow and Ching-Lung Lin, On decay rate of solutions for the stationary Navier-Stokes equation in an exterior domain, 2019 [article information]
    J. Differential Equations 266 (2019), 3279-3309, MR3912683, Zbl:1435.35279, doi:10.1016/j.jde.2018.09.002

Unpublished Manuscripts

Doctoral Dissertation

PhD thesis, National Taiwan University, College of Science, Department of Mathematics, 2021, doi:10.6342/NTU202100933. Thesis defense [pdf format | svg format]
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