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Global weak solutions to Landau-Lifshitz equations into compact Lie algebras 期刊论文
FRONTIERS OF MATHEMATICS IN CHINA, 2019, 页码: 34
Authors:  Jia, Zonglin;  Wang, Youde
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Landau-Lifshitz (LL) equations  Lie algebra  test functions  
Logarithmic stability of an inverse problem for Biot’s consolidation system in poro-elasticity 期刊论文
Journal of Physics Communications, 2019, 卷号: 3, 期号: 11
Authors:  Zhang,Wensheng;  Jiang,Zifan
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Carleman estimate  inverse problem  Biot’s system  
The nonconforming virtual element method for parabolic problems 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2019, 卷号: 143, 页码: 97-111
Authors:  Zhao, Jikun;  Zhang, Bei;  Zhu, Xiaopeng
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Nonconforming virtual element  Parabolic problem  Polygonal or polyhedral meshes  
Existence of solution to parabolic equations with mixed boundary condition on non-cylindrical domains 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 卷号: 265, 期号: 6, 页码: 2648-2670
Authors:  Kim, Tujin;  Cao, Daomin
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Parabolic equation  Non-cylindrical domain  Mixed boundary condition  Existence  
Simultaneous identification of diffusion coefficient, spacewise dependent source and initial value for one-dimensional heat equation 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 卷号: 40, 期号: 10, 页码: 3552-3565
Authors:  Zhao, Zhi-Xue;  Banda, Mapundi K.;  Guo, Bao-Zhu
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Inverse Problem  Matrix Pencil Method  Finite Difference Method  Truncated Singular Value Decomposition  Generalized Cross-validation  
Finite Element Method and A Priori Error Estimates for Dirichlet Boundary Control Problems Governed by Parabolic PDEs 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2016, 卷号: 66, 期号: 3, 页码: 941-967
Authors:  Gong, Wei;  Hinze, Michael;  Zhou, Zhaojie
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Optimal control problem  Parabolic equation  Finite element method  A priori error estimate  Dirichlet boundary control  
OPTIMAL STATE ESTIMATION FOR NON-TIME INVERTIBLE EVOLUTIONARY SYSTEMS 期刊论文
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2016, 卷号: 54, 期号: 5, 页码: 2754-2786
Authors:  Guo, Bao-Zhu;  Yu, Huaiqiang
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output tracking  parabolic system  infinite-dimensional filter  optimal state estimate  
FINITE ELEMENT APPROXIMATIONS OF PARABOLIC OPTIMAL CONTROL PROBLEMS WITH CONTROLS ACTING ON A LOWER DIMENSIONAL MANIFOLD 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2016, 卷号: 54, 期号: 2, 页码: 1229-1262
Authors:  Gong, Wei;  Yan, Ningning
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finite element method  parabolic equation  optimal control problem  moving manifold  fully discrete error estimates  
Inverse source problems for time-fractional mixed parabolic-hyperbolic-type equations 期刊论文
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2015, 卷号: 23, 期号: 4, 页码: 339-353
Authors:  Feng, Pengbin;  Karimov, Erkinjon T.
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Inverse source problem  Caputo fractional derivative  mixed-type equation  orthonormal system of eigenfunctions  
Uniform Holder estimate for singularly perturbed parabolic systems of Bose-Einstein condensates and competing species 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 卷号: 251, 期号: 10, 页码: 2737-2769
Authors:  Dancer, E. N.;  Wang, Kelei;  Zhang, Zhitao
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Singular perturbation  Free boundary problem  Regularity  Liouville theorem