Cauchy problems for fractional differential equations with Riemann-Liouville fractional derivatives. Zbl 1266.47066
Li, Kexue; Peng, Jigen; Jia, Junxiong |
|
2012
|
Existence and uniqueness of mild solutions for abstract delay fractional differential equations. Zbl 1228.34019
Li, Kexue; Jia, Junxiong |
|
2011
|
Harnack’s inequality for a space-time fractional diffusion equation and applications to an inverse source problem. Zbl 1357.35284
Jia, Junxiong; Peng, Jigen; Yang, Jiaqing |
|
2017
|
Maximum principles for a time-space fractional diffusion equation. Zbl 1350.35044
Jia, Junxiong; Li, Kexue |
|
2016
|
Bayesian approach to a nonlinear inverse problem for a time-space fractional diffusion equation. Zbl 1412.35384
Zhang, Yuan-Xiang; Jia, Junxiong; Yan, Liang |
|
2018
|
Backward problem for a time-space fractional diffusion equation. Zbl 1397.65107
Jia, Junxiong; Peng, Jigen; Gao, Jinghuai; Li, Yujiao |
|
2018
|
Well-posedness of abstract distributed-order fractional diffusion equations. Zbl 1280.26013
Jia, Junxiong; Peng, Jigen; Li, Kexue |
|
2014
|
Bayesian approach to inverse problems for functions with a variable-index Besov prior. Zbl 1366.62048
Jia, Junxiong; Peng, Jigen; Gao, Jinghuai |
|
2016
|
Well-posedness and time-decay for compressible viscoelastic fluids in critical Besov space. Zbl 1311.35219
Jia, Junxiong; Peng, Jigen; Mei, Zhandong |
|
2014
|
Explosive solutions of parabolic stochastic partial differential equations with Lévy noise. Zbl 1368.60067
Li, Kexue; Peng, Jigen; Jia, Junxiong |
|
2017
|
Global smooth solutions in \(\mathbb{R}^3\) to short wave-long wave interactions in magnetohydrodynamics. Zbl 1371.35218
Frid, Hermano; Jia, Junxiong; Pan, Ronghua |
|
2017
|
Infinite-dimensional Bayesian approach for inverse scattering problems of a fractional Helmholtz equation. Zbl 1400.35196
Jia, Junxiong; Yue, Shigang; Peng, Jigen; Gao, Jinghuai |
|
2018
|
On the global well-posedness of a generalized 2D Boussinesq equations. Zbl 1327.76048
Jia, Junxiong; Peng, Jigen; Li, Kexue |
|
2015
|
Iterative thresholding algorithm based on non-convex method for modified \(l_p\)-norm regularization minimization. Zbl 1410.90162
Cui, Angang; Peng, Jigen; Li, Haiyang; Wen, Meng; Jia, Junxiong |
|
2019
|
Recursive linearization method for inverse medium scattering problems with complex mixture Gaussian error learning. Zbl 1419.65099
Jia, Junxiong; Wu, Bangyu; Peng, Jigen; Gao, Jinghuai |
|
2019
|
Variational Bayes’ method for functions with applications to some inverse problems. Zbl 1467.62045
Jia, Junxiong; Zhao, Qian; Xu, Zongben; Meng, Deyu; Leung, Yee |
|
2021
|
Well-posedness for compressible MHD systems with highly oscillating initial data. Zbl 1346.76209
Jia, Junxiong; Peng, Jigen; Gao, Jinghuai |
|
2016
|
A new characteristic property of Mittag-Leffler functions and fractional cosine functions. Zbl 1297.33015
Mei, Zhan-Dong; Peng, Ji-Gen; Jia, Jun-Xiong |
|
2014
|
Optimal time decay rate for compressible viscoelastic equations in critical spaces. Zbl 1370.76154
Jia, Junxiong; Peng, Jigen |
|
2017
|
Posterior contraction for empirical Bayesian approach to inverse problems under non-diagonal assumption. Zbl 1467.35350
Jia, Junxiong; Peng, Jigen; Gao, Jinghuai |
|
2021
|
Stein variational gradient descent on infinite-dimensional space and applications to statistical inverse problems. Zbl 1502.65044
Jia, Junxiong; Li, Peijun; Meng, Deyu |
|
2022
|
On the decay and stability of global solutions to the 3D inhomogeneous MHD system. Zbl 1362.35232
Jia, Junxiong; Peng, Jigen; Li, Kexue |
|
2017
|
On isentropic approximations for compressible Euler equations. Zbl 1330.35305
Jia, Junxiong; Pan, Ronghua |
|
2015
|
A Carleman estimate of some anisotropic space-fractional diffusion equations. Zbl 1394.35062
Jia, Junxiong; Wu, Bangyu |
|
2018
|
Well-posedness for a nonlocal nonlinear diffusion equation and applications to inverse problems. Zbl 1450.35270
Jing, Xiaohua; Jia, Junxiong; Peng, Jigen |
|
2020
|
Stein variational gradient descent on infinite-dimensional space and applications to statistical inverse problems. Zbl 1502.65044
Jia, Junxiong; Li, Peijun; Meng, Deyu |
|
2022
|
Variational Bayes’ method for functions with applications to some inverse problems. Zbl 1467.62045
Jia, Junxiong; Zhao, Qian; Xu, Zongben; Meng, Deyu; Leung, Yee |
|
2021
|
Posterior contraction for empirical Bayesian approach to inverse problems under non-diagonal assumption. Zbl 1467.35350
Jia, Junxiong; Peng, Jigen; Gao, Jinghuai |
|
2021
|
Well-posedness for a nonlocal nonlinear diffusion equation and applications to inverse problems. Zbl 1450.35270
Jing, Xiaohua; Jia, Junxiong; Peng, Jigen |
|
2020
|
Iterative thresholding algorithm based on non-convex method for modified \(l_p\)-norm regularization minimization. Zbl 1410.90162
Cui, Angang; Peng, Jigen; Li, Haiyang; Wen, Meng; Jia, Junxiong |
|
2019
|
Recursive linearization method for inverse medium scattering problems with complex mixture Gaussian error learning. Zbl 1419.65099
Jia, Junxiong; Wu, Bangyu; Peng, Jigen; Gao, Jinghuai |
|
2019
|
Bayesian approach to a nonlinear inverse problem for a time-space fractional diffusion equation. Zbl 1412.35384
Zhang, Yuan-Xiang; Jia, Junxiong; Yan, Liang |
|
2018
|
Backward problem for a time-space fractional diffusion equation. Zbl 1397.65107
Jia, Junxiong; Peng, Jigen; Gao, Jinghuai; Li, Yujiao |
|
2018
|
Infinite-dimensional Bayesian approach for inverse scattering problems of a fractional Helmholtz equation. Zbl 1400.35196
Jia, Junxiong; Yue, Shigang; Peng, Jigen; Gao, Jinghuai |
|
2018
|
A Carleman estimate of some anisotropic space-fractional diffusion equations. Zbl 1394.35062
Jia, Junxiong; Wu, Bangyu |
|
2018
|
Harnack’s inequality for a space-time fractional diffusion equation and applications to an inverse source problem. Zbl 1357.35284
Jia, Junxiong; Peng, Jigen; Yang, Jiaqing |
|
2017
|
Explosive solutions of parabolic stochastic partial differential equations with Lévy noise. Zbl 1368.60067
Li, Kexue; Peng, Jigen; Jia, Junxiong |
|
2017
|
Global smooth solutions in \(\mathbb{R}^3\) to short wave-long wave interactions in magnetohydrodynamics. Zbl 1371.35218
Frid, Hermano; Jia, Junxiong; Pan, Ronghua |
|
2017
|
Optimal time decay rate for compressible viscoelastic equations in critical spaces. Zbl 1370.76154
Jia, Junxiong; Peng, Jigen |
|
2017
|
On the decay and stability of global solutions to the 3D inhomogeneous MHD system. Zbl 1362.35232
Jia, Junxiong; Peng, Jigen; Li, Kexue |
|
2017
|
Maximum principles for a time-space fractional diffusion equation. Zbl 1350.35044
Jia, Junxiong; Li, Kexue |
|
2016
|
Bayesian approach to inverse problems for functions with a variable-index Besov prior. Zbl 1366.62048
Jia, Junxiong; Peng, Jigen; Gao, Jinghuai |
|
2016
|
Well-posedness for compressible MHD systems with highly oscillating initial data. Zbl 1346.76209
Jia, Junxiong; Peng, Jigen; Gao, Jinghuai |
|
2016
|
On the global well-posedness of a generalized 2D Boussinesq equations. Zbl 1327.76048
Jia, Junxiong; Peng, Jigen; Li, Kexue |
|
2015
|
On isentropic approximations for compressible Euler equations. Zbl 1330.35305
Jia, Junxiong; Pan, Ronghua |
|
2015
|
Well-posedness of abstract distributed-order fractional diffusion equations. Zbl 1280.26013
Jia, Junxiong; Peng, Jigen; Li, Kexue |
|
2014
|
Well-posedness and time-decay for compressible viscoelastic fluids in critical Besov space. Zbl 1311.35219
Jia, Junxiong; Peng, Jigen; Mei, Zhandong |
|
2014
|
A new characteristic property of Mittag-Leffler functions and fractional cosine functions. Zbl 1297.33015
Mei, Zhan-Dong; Peng, Ji-Gen; Jia, Jun-Xiong |
|
2014
|
Cauchy problems for fractional differential equations with Riemann-Liouville fractional derivatives. Zbl 1266.47066
Li, Kexue; Peng, Jigen; Jia, Junxiong |
|
2012
|
Existence and uniqueness of mild solutions for abstract delay fractional differential equations. Zbl 1228.34019
Li, Kexue; Jia, Junxiong |
|
2011
|