Publications----精益求精!

Inverse Problems for Functions

 

  1. Junxiong Jia, Jigen Peng, Jinghuai Gao, Posterior contraction for empirical Bayesian approach to inverse problems under non-diagonal assumption,  arXiv: 1810.02221, 2018
  2. Junxiong Jia, Qihang Sun, Bangyu Wu, Jigen Peng, A data-driven adaptive regularization method and its applications, arXiv:1807.06280, 2018
  3. Junxiong Jia, Shigang Yue, Jigen Peng, Jinghuai Gao, Inverse medium scattering problem for dispersion-dominated fractional Helmholtz equation
  4. Jingxiao Hua, Junxiong Jia, Jigen Peng, Well-posedness for a nonlocal nonlinear diffusion equation and applications to inverse problems, Applicable Analysis, 11 Feb 2019.
  5. Junxiong Jia, Bangyu Wu, Jigen Peng, Jinghuai Gao, Recursive linearization method for inverse medium scattering problems with complex mixture Gaussian error learning,  accepted by Inverse Problems, 2019.
  6. Yuanxiang Zhang, Junxiong Jia, Liang Yan, Bayesian approach to a nonlinear inverse problem for time-space fractional diffusion equation, Inverse Problems, 34 (2), 125002, 2018.
  7. Angang Cui, Jigen Peng, Haiyang Li, Meng Wen, Junxiong Jia, Iterative thresholding algorithm based on non-convex method for modified lp-norm regularization minimization, Journal of Computational and Applied Mathematics, 347, 137--180, 2018.
  8. Junxiong Jia, Shigang Yue, Jigen Peng, Jinghuai Gao, Infinite-dimensional Bayesian approach for inverse scattering problems of a fractional Helmholtz equation, Journal of Functional Analysis, 275(9), 2299--2332, 2018.

  9. Junxiong Jia, Jigen Peng, Jinghuai Gao and Yujiao Li, Backward problem for a time-space fractional diffusion equationInverse Problems and Imaging, 12 (2), 773--799, 2018. 

  10. Junxiong Jia, Bangyu Wu, A Carleman estimate of some anisotropic space-fractional diffusion equations, Applied Mathematics Letters, 80, 1--7, 2018. 

  11. Junxiong Jia, Jigen Peng, Jiaqing Yang, Harnack's inequality for a space-time fractional diffusion equation and applications to an inverse source problem,  Journal of Differential Equations, 262 (8), 4415--4450, 2017.

  12. Junxiong Jia, Jigen Peng and Jinghuai Gao, Bayesian approach to inverse problems for functions with a variable index Besov priorInverse Problems, 32 (8), 085006, 2016.

 

Inverse Problems in Seismic Exploration

 

Journal Papers: 

  1. Bangyu Wu, Wenhao Xu, Bo Li, Junxiong Jia, Trapezoid coordinate finite difference modeling of acoustic wave propagation using the CPML boundary condition, Journal of Applied Geophysics, Moderate revision, 2019.

  2. Hui Yang, Junxiong Jia, Bangyu Wu, and Jinghuai Gao, Mini-batch optimized full waveform inversion with geological constrained gradient filtering, Journal of Applied Geophysics, 152, 9--16, 2018.

Conference Papers :

  1. Bangyu Wu, Bo Li, Hui Yang and Junxiong Jia, 2018, Trapezoid grid finite difference for acoustic wave modeling, SEG 2018 Workshop: Seismic Imaging, Beijing, China, 12-14 November 2018: accepted.

  2. Bangyu Wu, Wenhao Xu, Junxiong Jia, Bo Li, Hui Yang, Haixia Zhao and Jinghuai Gao, 2018, Convolutional perfect matched layer boundary for trapezoid grid finite difference seismic modeling, SEG Technical Program Expanded Abstracts 2018, 3989-3993.
  3. Junxiong Jia, Qihang Sun, Bangyu Wu, Jigen Peng, A general local adaptive regularization inversion and its iterative solution, SEG Workshop: Full-waveform Inversion and Beyond, Extended Abstract, 2017.

 

Fractional Differential Equations

 

  1. Junxiong Jia, Kexue LiMaximum principles for a time-space fractional diffusion equationApplied Mathematics Letters, 62, 23--28, 2016.
  2. Junxiong Jia, Jigen Peng, Kexue Li, Well posedness of abstract distributed order fractional diffusion equationsCommunications on Pure & Applied Analysis, 13 (2), 605--621, 2014.
  3. Zhandong Mei, Jigen Peng, Junxiong JiaA new characteristic property of Mittag-Leffler functions and fractional cosine functionsStudia Mathematica, 220 (2), 119--140, 2014.
  4. Kexue Li , Jigen Peng, Junxiong JiaCauchy problems for fractional differential equations with Riemann–Liouville fractional derivativesJournal of Functional Analysis, 263 (2), 476--510, 2012.
  5. Kexue Li, Junxiong JiaExistence and uniqueness of mild solutions for abstract delay fractional differential equationsComputers & Mathematics with Applications, 62 (3), 1398--1404, 2011.

 

Stochastic Differential Equations

 

  1. Kexue Li, Jigen Peng and Junxiong Jia, Explosive solutions of parabolic stochastic partial differential equations with Levy noise, Discrete and Continuous Dynamical Systems--A, 37(10), 5105--5125, 2017.

 

Fluid Dynamic Equations

 

  1. Junxiong Jia, Optimal time decay of Navier-Stokes equations with low regularity initial data, Acta Mathematica Sinica, English Series, 34(5), 855--872, 2018.
  2. Junxiong Jia, Jigen Peng, Kexue Li, On the decay and stability of global solutions to the 3D inhomogeneous MHD systemCommunications on Pure & Applied Analysis, 16 (3), 745--780, 2017.
  3. Hermano Frid, Junxiong Jia, Ronghua Pan, Global smooth solutions in R3 to short wave-long wave interactions systems for viscous magnetohydrodynamic fluidsJournal of Differential Equations, 262 (7), 4129--4173, 2017. 
  4. Junxiong Jia, Jigen Peng, Jinghuai Gao, Well-posedness for compressible MHD systems with highly oscillating initial dataJournal of Mathematical Physics,  57, 081514, 2016.
  5. Junxiong Jia, Jigen Peng, Optimal Time Decay Rate for the Compressible Viscoelastic Equations in Critical SpacesApplicable Analysis, 24, 1--21, 2016.
  6. Junxiong Jia, Jigen Peng, Kexue Li, On the global well-posedness of a generalized 2D Boussinesq equation, Nonlinear Differential Equations and Applications NoDEA, 22 (4), 911--945, 2015.
  7. Junxiong Jia, Ronghua Pan, On isentropic approximations in compressible euler equationsJournal of Scientific Computing, 64 (3), 745--760, 2015.
  8. Junxiong Jia, Jigen Peng, Zhandong Mei, Well-posedness and time-decay for compressible viscoelastic fluids in critical Besov spaceJournal of Mathematical Analysis and Applications, 418 (2), 638--675, 2014.