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1.  Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803, United States 
2.  Department of Mathematical Sciences, Worcester Polytechnic Institute, Worcester, MA 01609, United States 
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S. L. Ma'u, P. Ramankutty. An averaging method for the Helmholtz equation. Conference Publications, 2003, 2003 (Special) : 604609. doi: 10.3934/proc.2003.2003.604 
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Claudianor O. Alves, Giovany M. Figueiredo, Riccardo Molle. Multiple positive bound state solutions for a critical Choquard equation. Discrete and Continuous Dynamical Systems, 2021, 41 (10) : 48874919. doi: 10.3934/dcds.2021061 
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Kamel Hamdache, Djamila Hamroun. Macroscopic limit of the kinetic Bloch equation. Kinetic and Related Models, 2021, 14 (3) : 541570. doi: 10.3934/krm.2021015 
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Adrien Dekkers, Anna RozanovaPierrat, Vladimir Khodygo. Models of nonlinear acoustics viewed as approximations of the Kuznetsov equation. Discrete and Continuous Dynamical Systems, 2020, 40 (7) : 42314258. doi: 10.3934/dcds.2020179 
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John Sylvester. An estimate for the free Helmholtz equation that scales. Inverse Problems and Imaging, 2009, 3 (2) : 333351. doi: 10.3934/ipi.2009.3.333 
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Carlos Conca, Luis Friz, Jaime H. Ortega. Direct integral decomposition for periodic function spaces and application to Bloch waves. Networks and Heterogeneous Media, 2008, 3 (3) : 555566. doi: 10.3934/nhm.2008.3.555 
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Giacomo Dimarco. The moment guided Monte Carlo method for the Boltzmann equation. Kinetic and Related Models, 2013, 6 (2) : 291315. doi: 10.3934/krm.2013.6.291 
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Siqi Chen, YongKui Chang, Yanyan Wei. Pseudo $ S $asymptotically Bloch type periodic solutions to a damped evolution equation. Evolution Equations and Control Theory, 2022, 11 (3) : 621633. doi: 10.3934/eect.2021017 
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Sista Sivaji Ganesh, Vivek Tewary. Bloch wave approach to almost periodic homogenization and approximations of effective coefficients. Discrete and Continuous Dynamical Systems  B, 2022, 27 (4) : 19892024. doi: 10.3934/dcdsb.2021119 
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Alireza Khatib, Liliane A. Maia. A positive bound state for an asymptotically linear or superlinear Schrödinger equation in exterior domains. Communications on Pure and Applied Analysis, 2018, 17 (6) : 27892812. doi: 10.3934/cpaa.2018132 
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SangYeun Shim, Marcos Capistran, Yu Chen. Rapid perturbational calculations for the Helmholtz equation in two dimensions. Discrete and Continuous Dynamical Systems, 2007, 18 (4) : 627636. doi: 10.3934/dcds.2007.18.627 
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Jing Li, Boling Guo, Lan Zeng, Yitong Pei. Global weak solution and smooth solution of the periodic initial value problem for the generalized LandauLifshitzBloch equation in high dimensions. Discrete and Continuous Dynamical Systems  B, 2020, 25 (4) : 13451360. doi: 10.3934/dcdsb.2019230 
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Haibo Jin, Long Hai, Xiaoliang Tang. An optimal maintenance strategy for multistate systems based on a system linear integral equation and dynamic programming. Journal of Industrial and Management Optimization, 2020, 16 (2) : 965990. doi: 10.3934/jimo.2018188 
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Wenjia Jing, Olivier Pinaud. A backscattering model based on corrector theory of homogenization for the random Helmholtz equation. Discrete and Continuous Dynamical Systems  B, 2019, 24 (10) : 53775407. doi: 10.3934/dcdsb.2019063 
[17] 
Michael V. Klibanov. A phaseless inverse scattering problem for the 3D Helmholtz equation. Inverse Problems and Imaging, 2017, 11 (2) : 263276. doi: 10.3934/ipi.2017013 
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Xuefei He, Kun Wang, Liwei Xu. Efficient finite difference methods for the nonlinear Helmholtz equation in Kerr medium. Electronic Research Archive, 2020, 28 (4) : 15031528. doi: 10.3934/era.2020079 
[19] 
Andrei Fursikov, Lyubov Shatina. Nonlocal stabilization by starting control of the normal equation generated by Helmholtz system. Discrete and Continuous Dynamical Systems, 2018, 38 (3) : 11871242. doi: 10.3934/dcds.2018050 
[20] 
Günther Hörmann. Wave breaking of periodic solutions to the FornbergWhitham equation. Discrete and Continuous Dynamical Systems, 2018, 38 (3) : 16051613. doi: 10.3934/dcds.2018066 
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