Papers:

[1]. X. Liu and B. Zhang (2009): A uniqueness result for the inverse electromagnetic scattering problem in a piecewise

    homoge neous medium,

   Applicable Analysis 88, 1339-1355.

[2]. G. Hu, X. Liu and B. Zhang (2009): Unique determination of a perfectly conducting ball by a finite number of electric far

    field data.

    J. Math. Anal. Appl. 352, 861-871.

[3]. X. Liu, B. Zhang and G. Hu (2010): Uniqueness in the inverse scattering problem in a piecewise homogeneous medium,

    Inverse Problems 26, 015002.

[4]. X. Liu and B. Zhang (2010): A uniqueness result for inverse electromagnetic scattering problem in a two layered medium,

   Inverse Problems 26, 105007.

[5]. X. Liu and B. Zhang (2010): Unique determination of a sound soft ball by the modulus of a single far field datum,

   J. Math. Anal. Appl. 365, 619-624.

[6] X. Liu and B. Zhang (2010): Direct and inverse scattering problem in a piecewise homogeneous medium,

   SIAM J. Appl. Math. Volume 70, Issue 8,  pp. 3105-3120 .

[7]  X. Liu, B. Zhang and J. Yang, The inverse electromagnetic scattering problem in a piecewise homogeneous medium,    

   Inverse Problems 26,  2010, 125001.

[8] X. Liu and B. Zhang, Inverse scattering by an inhomogeneous penetrable obstacle in a piecewise homogeneous medium,  

   Acta Math. Sci. Ser. B Engl. Ed. 32 , (2012), 1281-1297.

[9]  O. Bondarenko and X. Liu, The Factorization Method for inverse obstacle scattering with conductive boundary condition,

   Inverse Problems 29, (2013), 095021.

[10] A. Kirsch and X. Liu, Direct and inverse acoustic scattering by a mixed type scatterer,

   Inverse Problems 29,  (2013), 065005.

[11] O. Bondarenko, A. Kirsch and X. Liu, The factorization method for inverse acoustic scattering in a layered medium, 

    Inverse Problems 29, (2013), 045010. Selected as Insight Article.

[12] A. Kirsch and X. Liu, The Factorization method for inverse acoustic scattering by a penetrable anisotropic obstacle,  

    Math. Meth. Appl. Sci. 37, No. 8, (2014), 1159-1170.

[13] X. Liu, The factorization method for cavities,

    Inverse Problems 30, (2014), 015006.

[14] A. Kirsch and X. Liu, A Modification of the Factorization Method for the Classical Acoustic Inverse Scattering Problems,
    Inverse Problems 30, (2014), 035013.

[15] G. Hu and  X. Liu, Unique Determination of Balls and Polyhedral Scatterers with A Single Point Source Wave,

    Inverse Problems 30, (2014), 065010.

[16] X. Liu and J. Sun, Reconstruction of Neumann eigenvalues and support of sound hard obstacles,

    Inverse Problems 30, (2014), 065011.

[17] G. Hu, X. Liu, F. Qu and B. Zhang,  Variational Approach to Scattering by Unbounded Rough Surfaces with
   Neumann and Generalized Impedance Boundary Conditions,
   Communications in Mathematical Sciences, (2014), to appear.

[18] X. Liu, The factorization method for scatterers with different physical properties,
    Discrete and Continuous Dynamical Systems -- Series S, Vol8, No3, (2015), 563-577.

[19]H.H. Qin and X. Liu, The interior inverse scattering problem for cavities with an artificial obstacle,

Applied Numerical Mathematics, 88, (2015), 18-30.

Book chapter:

[1] X. Liu and B. Zhang, Uniqueness results for inverse scattering problems, In:
Computational Methods for Applied Inverse Problems  (eds. Y. Wang, A.G.
Yagola & C. Yang),  Higher Education Press & De Gruyter, Beijing/New York,
251-281, 2012.