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Stability of a coefficient inverse problem for the discrete Schrodinger equation and a convergence result 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 卷号: 518, 期号: 1, 页码: 25
作者:  Zhao, Zhongliu;  Zhang, Wensheng
收藏  |  浏览/下载：126/0  |  提交时间：2023/02/07
Inverse problem  Semi-discrete Schr?dinger equation  Discrete Carleman estimate  Convergence  Stability  
New integrable multi-Levy-index and mixed fractional nonlinear soliton hierarchies 期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 164, 页码: 6
作者:  Zhenya Yan
收藏  |  浏览/下载：70/0  |  提交时间：2023/02/07
Multi-Levy-index and mix-index fractional soliton hierarchy  Integrable fractional system  Anomalous dispersion relation  Inverse scattering  Riemann-Hilbert problem  Solitons  
An inverse problem for the transmission wave equation with Kelvin-Voigt damping 期刊论文
APPLICABLE ANALYSIS, 2022, 页码: 23
作者:  Zhao, Zhongliu;  Zhang, Wensheng
收藏  |  浏览/下载：53/0  |  提交时间：2023/02/07
Wave equation with Kelvin-Voigt damping  discontinuous coefficients  global Carleman estimate  inverse problem  single measurement  
Optimal convergence of finite element approximation to an optimization problem with PDE constraint* 期刊论文
INVERSE PROBLEMS, 2022, 卷号: 38, 期号: 4, 页码: 45
作者:  Gong, Wei;  Tan, Zhiyu;  Zhou, Zhaojie
收藏  |  浏览/下载：148/0  |  提交时间：2022/04/29
inverse source problem  optimal control  finite element method  a priori error estimate  a posteriori error estimate  adaptivity  rate optimality  
INVERSE ELASTIC SCATTERING FOR A RANDOM POTENTIAL\ast 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2022, 卷号: 54, 期号: 5, 页码: 5126-5159
作者:  LI, Jianliang;  LI, Peijun;  Wang, Xu
收藏  |  浏览/下载：53/0  |  提交时间：2023/02/07
inverse scattering problem  elastic wave equation  generalized Gaussian random field  pseudodifferential operator  principal symbol  uniqueness  
INVERSE SOURCE PROBLEMS FOR THE STOCHASTIC WAVE EQUATIONS: FAR-FIELD PATTERNS 期刊论文
SIAM JOURNAL ON APPLIED MATHEMATICS, 2022, 卷号: 82, 期号: 4, 页码: 1113-1134
作者:  Li, Jianliang;  Li, Peijun;  Wang, Xu
收藏  |  浏览/下载：75/0  |  提交时间：2023/02/07
Key words  inverse source problem  stochastic wave equation  Gaussian random field  pseudodifferential operator  far-field pattern  uniqueness  
Hybrid Regularized Cone-Beam Reconstruction for Axially Symmetric Object Tomography 期刊论文
ACTA MATHEMATICA SCIENTIA, 2021, 页码: 17
作者:  Li, Xinge;  Wei, Suhua;  Xu, Haibo;  Chen, Chong
收藏  |  浏览/下载：112/0  |  提交时间：2022/04/02
high-energy X-ray radiography  cone-beam global reconstruction  inverse problem  total variation  alternating proximal gradient method  
Inverse scattering and N-triple-pole soliton and breather solutions of the focusing nonlinear Schrodinger hierarchy with nonzero boundary conditions 期刊论文
PHYSICS LETTERS A, 2021, 卷号: 407, 页码: 18
作者:  Weng, Weifang;  Yan, Zhenya
收藏  |  浏览/下载：137/0  |  提交时间：2021/10/26
Focusing NLS hierarchy  Inverse scattering  Riemann-Hilbert problem  Nonzero boundary conditions  N-triple-pole solitons and breathers  
Long-Time Asymptotics for the Focusing Hirota Equation with Non-Zero Boundary Conditions at Infinity Via the Deift-Zhou Approach 期刊论文
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2021, 卷号: 24, 期号: 2, 页码: 37
作者:  Chen, Shuyan;  Yan, Zhenya;  Guo, Boling
收藏  |  浏览/下载：174/0  |  提交时间：2021/06/01
Focusing Hirota equation  Non-zero boundary conditions  Inverse scattering  Oscillatory Riemann-Hilbert problem  Nonlinear steepest-descent method  Long-time asymptotics  
An initial-boundary value problem for the general three-component nonlinear Schrodinger equations on a finite interval 期刊论文
IMA JOURNAL OF APPLIED MATHEMATICS, 2021, 卷号: 86, 期号: 3, 页码: 427-489
作者:  Yan, Zhenya
收藏  |  浏览/下载：139/0  |  提交时间：2021/10/26
general three-component nonlinear Schrodinger equations  initial-boundary value problem  inverse scattering  Riemann-Hilbert problem  global relation  Dirichlet and Neumann problems  Gel'fand-Levitan-Marchenko representation