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Boundary stabilization for the wave equation in a bounded cylindrical domain
1.  Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, China 
[1] 
Mei Ming. Weighted elliptic estimates for a mixed boundary system related to the DirichletNeumann operator on a corner domain. Discrete and Continuous Dynamical Systems, 2019, 39 (10) : 60396067. doi: 10.3934/dcds.2019264 
[2] 
Yanni Guo, Genqi Xu, Yansha Guo. Stabilization of the wave equation with interior input delay and mixed NeumannDirichlet boundary. Discrete and Continuous Dynamical Systems  B, 2016, 21 (8) : 24912507. doi: 10.3934/dcdsb.2016057 
[3] 
Sándor Kelemen, Pavol Quittner. Boundedness and a priori estimates of solutions to elliptic systems with DirichletNeumann boundary conditions. Communications on Pure and Applied Analysis, 2010, 9 (3) : 731740. doi: 10.3934/cpaa.2010.9.731 
[4] 
Zhuangyi Liu, Ramón Quintanilla. Energy decay rate of a mixed type II and type III thermoelastic system. Discrete and Continuous Dynamical Systems  B, 2010, 14 (4) : 14331444. doi: 10.3934/dcdsb.2010.14.1433 
[5] 
Umberto De Maio, Akamabadath K. Nandakumaran, Carmen Perugia. Exact internal controllability for the wave equation in a domain with oscillating boundary with Neumann boundary condition. Evolution Equations and Control Theory, 2015, 4 (3) : 325346. doi: 10.3934/eect.2015.4.325 
[6] 
Maya Bassam, Denis Mercier, Ali Wehbe. Optimal energy decay rate of Rayleigh beam equation with only one boundary control force. Evolution Equations and Control Theory, 2015, 4 (1) : 2138. doi: 10.3934/eect.2015.4.21 
[7] 
Rachid Assel, Mohamed Ghazel. Energy decay for the damped wave equation on an unbounded network. Evolution Equations and Control Theory, 2018, 7 (3) : 335351. doi: 10.3934/eect.2018017 
[8] 
Xiaoqiang Dai, Chao Yang, Shaobin Huang, Tao Yu, Yuanran Zhu. Finite time blowup for a wave equation with dynamic boundary condition at critical and high energy levels in control systems. Electronic Research Archive, 2020, 28 (1) : 91102. doi: 10.3934/era.2020006 
[9] 
Mourad Bellassoued, David Dos Santos Ferreira. Stability estimates for the anisotropic wave equation from the DirichlettoNeumann map. Inverse Problems and Imaging, 2011, 5 (4) : 745773. doi: 10.3934/ipi.2011.5.745 
[10] 
Moez Daoulatli, Irena Lasiecka, Daniel Toundykov. Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions. Discrete and Continuous Dynamical Systems  S, 2009, 2 (1) : 6794. doi: 10.3934/dcdss.2009.2.67 
[11] 
YuHao Liang, ShinHwa Wang. Classification and evolution of bifurcation curves for a onedimensional DirichletNeumann problem with a specific cubic nonlinearity. Discrete and Continuous Dynamical Systems, 2020, 40 (2) : 10751105. doi: 10.3934/dcds.2020071 
[12] 
Khadijah Sharaf. A perturbation result for a critical elliptic equation with zero Dirichlet boundary condition. Discrete and Continuous Dynamical Systems, 2017, 37 (3) : 16911706. doi: 10.3934/dcds.2017070 
[13] 
Jaeyoung Byeon, Sangdon Jin. The Hénon equation with a critical exponent under the Neumann boundary condition. Discrete and Continuous Dynamical Systems, 2018, 38 (9) : 43534390. doi: 10.3934/dcds.2018190 
[14] 
Moez Daoulatli. Energy decay rates for solutions of the wave equation with linear damping in exterior domain. Evolution Equations and Control Theory, 2016, 5 (1) : 3759. doi: 10.3934/eect.2016.5.37 
[15] 
Mohammad A. Rammaha, Daniel Toundykov, Zahava Wilstein. Global existence and decay of energy for a nonlinear wave equation with $p$Laplacian damping. Discrete and Continuous Dynamical Systems, 2012, 32 (12) : 43614390. doi: 10.3934/dcds.2012.32.4361 
[16] 
Larissa V. Fardigola. Transformation operators in controllability problems for the wave equations with variable coefficients on a halfaxis controlled by the Dirichlet boundary condition. Mathematical Control and Related Fields, 2015, 5 (1) : 3153. doi: 10.3934/mcrf.2015.5.31 
[17] 
Mohammed Aassila. On energy decay rate for linear damped systems. Discrete and Continuous Dynamical Systems, 2002, 8 (4) : 851864. doi: 10.3934/dcds.2002.8.851 
[18] 
Bopeng Rao. Optimal energy decay rate in a damped Rayleigh beam. Discrete and Continuous Dynamical Systems, 1998, 4 (4) : 721734. doi: 10.3934/dcds.1998.4.721 
[19] 
Arnaud Heibig, Mohand Moussaoui. Exact controllability of the wave equation for domains with slits and for mixed boundary conditions. Discrete and Continuous Dynamical Systems, 1996, 2 (3) : 367386. doi: 10.3934/dcds.1996.2.367 
[20] 
Yaru Xie, Genqi Xu. The exponential decay rate of generic tree of 1d wave equations with boundary feedback controls. Networks and Heterogeneous Media, 2016, 11 (3) : 527543. doi: 10.3934/nhm.2016008 
2020 Impact Factor: 1.392
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