Lin

 


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    Publications

     

    Warning: Preprints and accepted papers can be found below in pdf form . The final version of these articles can be changed after publication, so please read them in the indicated journals (click [Link] to the journal webpage). You can also find my preprints in terms of chronological records via arXiv.org.

    Preprints / Submitted Papers

     

    23. (with T. Liimatainen, M. Salo, and T. Tyni) Inverse problems for elliptic equations with fractional power type nonlinearities
    preprint (2020), arXiv:2012.04944

    22. Monotonicity-based inversion of fractional semilinear elliptic equations with power type nonlinearities
    submitted (2020), arXiv:2005.07163.

    21. (with R.-Y. Lai) Inverse problems for fractional semilinear elliptic equations
    submitted (2020), arXiv:2004.00549

    20. (with P. Caro, R.-Y. Lai and T. Zhou) Boundary determination of electromagnetic and Lamé parameters with corrupted data
    submitted (2019), arXiv:1903.03524.

     

    Publications / Accepted Papers

     

    19. (with M. Lassas, T. Liimatainen and M. Salo) Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations
    Rev. Mat. Iberoam., published online (2020). [Link]

    18. (with G. Nakamura, R. Potthast and H. Wang) Duality between range and no-response tests and its application for inverse problems
    Inverse Probl. Imaging, published online (2020). [Link]

    17. (with M. Lassas, T. Liimatainen and M. Salo) Inverse problems for elliptic equations with power type nonlinearities
    J. Math. Pures Appl., Vol. 145 (2021), 44-82. [Link]

    16. (with R. Murthy, K. Shin and J. Mueller)  A direct reconstruction algorithm for the anisotropic inverse conductivity problem based on Calderón method in the plane
    Inverse Problems, Vol 36 (2020), 125008. [Link]

    15. (with R.-Y. Lai and A. Rüland) The Calderón problem for a space-time fractional parabolic equation
    SIAM J. Math Anal., Vol. 52, Issue 3 (2020), 2655-2688. [Link]

    14. (with M. Cekić and A. Rüland) The Calderón problem for the fractional Schrödinger equation with drift
    Cal. Var. Partial Differential Equations, Vol. 59, Article number 91 (2020). [Link]

    13. (with B. Harrach) Monotonicity-based inversion of the fractional Schrödinger equation II. General potentials and stability
    SIAM J. Math Anal., Vol. 52, Issue 1 (2020), 402-436.
    [Link]

    12. (with B. Harrach) Monotonicity-based inversion of the fractional Schrödinger equation I. Positive potentials
    SIAM J. Math Anal., Vol. 51, Issue 4 (2019), 3092-3111.
    [Link]

    11. (with S. Meng) Leading and second order homogenization of an elastic scattering problem for highly oscillating anisotropic medium
    J. Elasticity
    , Vol. 137, Issue 2 (2019), 177-217. [Link]

    10. (with X. Cao and H. Liu) Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators 
    Inverse Probl. Imaging,
    Vol. 13, Issue 1 (2019), 197-210. [Link]

      9. (with R.-Y. Lai) Global uniqueness for the fractional semilinear Schrödinger equation
    Proc. Amer. Math. S
    oc. 147 (2019), 1189-1199. [Link]

      8. (with E. Blåsten) Radiating and non-radiating sources in elasticity
    Inverse Problems, Vol. 35, No. 1 (2018), 1-16. [Link]

      7. (with B. Harrach and H. Liu) On localizing and concentrating electromagnetic fields
    SIAM J. Appl. Math
    , 78(5) (2018), 2558-2574. [Link]

      6. Nearly cloaking for the elasticity system with residual stress
    Asymptot. Anal.
    , Vol. 106, Issue 1 (2018), 1-23. [Link]

      5. (with T. Ghosh and J. Xiao) The Calderón problem for variable coefficient nonlocal elliptic operators
    C
    omm. Partial Differential Equations, Vol. 42, No. 12 (2017), 1923-1961. [Link]

  •   4. (with G. Nakamura) Boundary determination of the Lamé moduli for the isotropic elasticity system
    Inverse Problems
    ,  Vol. 33, No. 12 (2017), 1-23. [Link]

      3. Reconstruction of penetrable obstacles in the anisotropic acoustic scatterings
    Inverse Probl. Imaging,
    Vol. 10, Issue 3 (2016), 765-780. [Link]

      2. Strong unique continuation for a residual stress system with Gevrey coefficients
    Proc. Amer. Math. Soc. 144 (2016), 2171-2183. [Link]

      1. (with R. Kuan and M. Sini) The enclosure method for the anisotropic Maxwell system
    SIAM J. Math Anal.
    , Vol 47 (2015), 3488-3527. [Link]

  •  

    Collaborators

     

    Blåsten, Emilia (Freelance mathematician, Helsinki, Finland)

    Cao, Xinlin (PhD Student, Hong Kong Baptist University, Hong Kong)

    Caro, Pedro (Ikerbasque Research Fellow at BCAM, Spain)

    Cekić, Mihajlo (Postdoctoral Fellow, Laboratoire de Mathématiques d'Orsay, Université Paris-Sud, France)

    Ghosh, Tuhin (Research Associate, Bielefeld University, Germany)

    Harrach, Bastian (Professor, Goethe University Frankfurt, Germany)

    Kuan, Rulin (Assistant Professor, National Cheng Kung University, Taiwan)

    Lai, Ru-Yu (Assistant Professor, University of Minnesota, USA)

    Lassas, Matti (Academy Professor, Department of Mathematics and Statistics, University of Helsinki, Finland)

    Liimatainen, Tony (Postdoctoral Fellow, Department of Mathematics and Statistics, University of Jyväskylä, Finland)

    Liu, Hongyu (Professor, City University of Hong Kong, Hong Kong)

    Meng, Shixu (Postdoctoral Assistant Professor, University of Michigan, USA)

    Muller, Jennifer (Professor, Department of Mathematics, Colorado State University, USA)

    Murthy, Rashmi (Postdoctoral Fellow, University of Helsinki, Finland)

    Nakamura, Gen (Professor, Hokkaido University, Japan)

    Rüland, Angkana (Professor, Institut für Angewandte Mathematik, Ruprecht-Karls Universität Heidelberg, Germany)

    Potthast, Roland (Director and Professor for Data Assimilation at DWD/DMVI, Germany & Professor in University of Reading, UK)

    Salo, Mikko (Professor, Department of Mathematics and Statistics, University of Jyväskylä, Finland)

    Shin, Kwancheol (PhD stduent, Colorado State University, USA)

    Sini, Mourad (Professor, Radon Institute for Computational and Applied Mathematics, Austria)

    Tyni, Teemu (Postdoctoral Fellow, Department of Mathematics and Statistics, University of Helsinki, Finland)

    Wang, Haibing (Professor, Department of Mathematics, Southeast University, China)

    Xiao, Jingni (Hill Assistant Professor, Rutgers University, USA)

    Zhou, Ting (Associate Professor, Northeastern University, USA)

    (in alphabetical order)

    PhD Thesis

    Download, doi: 10.6342, NTU/201600158
    Slide for the PhD thesis defense

    Some Lecture Notes

  • These notes (only for personal records) might be incorrect or contain errors. Please be careful in using them.

    ◆ Harmonic Analysis course @ NTU, 2016.02-2016.06 PDF

    ◆ NCTS Distinguished Scholar and NTU visiting chair
         -  Spectral Graph Theory and its Applications PDF

    ◆ IAS workshop on Inverse Problems, Imaging and PDE
         - Calderon's problem for elliptic system PDF

    ◆ NCTS Summer Courses on Analysis and PDEs
         - Introduction to EIT PDF
         - Classical DeGiorgi method to NS equation  PDF

    ◆ NCTS Minicourse on Periodic Homogenization of Elliptic Problems
         -  Introduction to elliptic homogenization problem PDF

    ◆ NCTS seminar - The DeGiorgi method and its application to parabolic regularity
         - Vasseur, DeGiorgi method PDF 

    ◆ On the inviscid limit problem for incompressible flows in the half-plane
         - Incompressible Navier-Stokes equation PDF

    ◆ NCTS Distinguished Lectures Series (Click Here)
         - Theory and Applications to homogenization - A revisit with recent progress PDF

    ◆ Other Notes:
         - Method of moving plane PDF 
         - Dirichlet-Neumann relations PDF 
         - Radon transform PDF
         - Liapunov-Schmidt reduction PDF