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Semismooth Newton method for minimization of the LLT model
Multiscale image representation using novel integrodifferential equations
1.  Department of Mathematics, Institute for Physical Science & Technology and Center of Scientific Computation and Mathematical Modeling (CSCAMM), University of Maryland, College Park, MD 20742 
2.  Applied Mathematics and Scientific Computation (AMSC) and Center of Scientific Computation and Mathematical Modeling (CSCAMM), University of Maryland, College Park, MD 20742, United States 
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Hai Huang, Xianlong Fu. Optimal control problems for a neutral integrodifferential system with infinite delay. Evolution Equations & Control Theory, 2020 doi: 10.3934/eect.2020107 
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Thabet Abdeljawad, Mohammad Esmael Samei. Applying quantum calculus for the existence of solution of $ q $integrodifferential equations with three criteria. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020440 
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Abdelghafour Atlas, Mostafa Bendahmane, Fahd Karami, Driss Meskine, Omar Oubbih. A nonlinear fractional reactiondiffusion system applied to image denoising and decomposition. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020321 
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Kien Trung Nguyen, Vo Nguyen Minh Hieu, Van Huy Pham. Inverse group 1median problem on trees. Journal of Industrial & Management Optimization, 2021, 17 (1) : 221232. doi: 10.3934/jimo.2019108 
[5] 
Kai Yang. Scattering of the focusing energycritical NLS with inverse square potential in the radial case. Communications on Pure & Applied Analysis, 2021, 20 (1) : 7799. doi: 10.3934/cpaa.2020258 
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Lingfeng Li, Shousheng Luo, XueCheng Tai, Jiang Yang. A new variational approach based on levelset function for convex hull problem with outliers. Inverse Problems & Imaging, , () : . doi: 10.3934/ipi.2020070 
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Siyang Cai, Yongmei Cai, Xuerong Mao. A stochastic differential equation SIS epidemic model with regime switching. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020317 
[8] 
Stefano Bianchini, Paolo Bonicatto. Forward untangling and applications to the uniqueness problem for the continuity equation. Discrete & Continuous Dynamical Systems  A, 2020 doi: 10.3934/dcds.2020384 
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Mostafa Mbekhta. Representation and approximation of the polar factor of an operator on a Hilbert space. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020463 
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Andrew D. Lewis. Erratum for "nonholonomic and constrained variational mechanics". Journal of Geometric Mechanics, 2020, 12 (4) : 671675. doi: 10.3934/jgm.2020033 
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Gunther Uhlmann, Jian Zhai. Inverse problems for nonlinear hyperbolic equations. Discrete & Continuous Dynamical Systems  A, 2021, 41 (1) : 455469. doi: 10.3934/dcds.2020380 
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Shipra Singh, Aviv Gibali, Xiaolong Qin. Cooperation in traffic network problems via evolutionary split variational inequalities. Journal of Industrial & Management Optimization, 2020 doi: 10.3934/jimo.2020170 
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Lorenzo Zambotti. A brief and personal history of stochastic partial differential equations. Discrete & Continuous Dynamical Systems  A, 2021, 41 (1) : 471487. doi: 10.3934/dcds.2020264 
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Fabio Camilli, Giulia Cavagnari, Raul De Maio, Benedetto Piccoli. Superposition principle and schemes for measure differential equations. Kinetic & Related Models, , () : . doi: 10.3934/krm.2020050 
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Dan Zhu, Rosemary A. Renaut, Hongwei Li, Tianyou Liu. Fast nonconvex lowrank matrix decomposition for separation of potential field data using minimal memory. Inverse Problems & Imaging, , () : . doi: 10.3934/ipi.2020076 
[16] 
Yueyang Zheng, Jingtao Shi. A stackelberg game of backward stochastic differential equations with partial information. Mathematical Control & Related Fields, 2020 doi: 10.3934/mcrf.2020047 
[17] 
YiHsuan Lin, Gen Nakamura, Roland Potthast, Haibing Wang. Duality between range and noresponse tests and its application for inverse problems. Inverse Problems & Imaging, , () : . doi: 10.3934/ipi.2020072 
[18] 
Kha Van Huynh, Barbara Kaltenbacher. Some application examples of minimization based formulations of inverse problems and their regularization. Inverse Problems & Imaging, , () : . doi: 10.3934/ipi.2020074 
[19] 
Stefan Ruschel, Serhiy Yanchuk. The spectrum of delay differential equations with multiple hierarchical large delays. Discrete & Continuous Dynamical Systems  S, 2021, 14 (1) : 151175. doi: 10.3934/dcdss.2020321 
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Min Chen, Olivier Goubet, Shenghao Li. Mathematical analysis of bump to bucket problem. Communications on Pure & Applied Analysis, 2020, 19 (12) : 55675580. doi: 10.3934/cpaa.2020251 
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