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Global solutions to the Cauchy problem for the weakly coupled system of damped wave equations
1.  Hiratsuka, Kanagawa, 2591292, Japan 
[1] 
Marcello D'Abbicco. A note on a weakly coupled system of structurally damped waves. Conference Publications, 2015, 2015 (special) : 320329. doi: 10.3934/proc.2015.0320 
[2] 
Felipe Linares, M. Panthee. On the Cauchy problem for a coupled system of KdV equations. Communications on Pure & Applied Analysis, 2004, 3 (3) : 417431. doi: 10.3934/cpaa.2004.3.417 
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Brahim Alouini. Global attractor for a one dimensional weakly damped halfwave equation. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020410 
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Xinyu Mei, Yangmin Xiong, Chunyou Sun. Pullback attractor for a weakly damped wave equation with supcubic nonlinearity. Discrete & Continuous Dynamical Systems  A, 2020 doi: 10.3934/dcds.2020270 
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Bopeng Rao, Zhuangyi Liu. A spectral approach to the indirect boundary control of a system of weakly coupled wave equations. Discrete & Continuous Dynamical Systems  A, 2009, 23 (1&2) : 399414. doi: 10.3934/dcds.2009.23.399 
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Farah Abdallah, Mouhammad Ghader, Ali Wehbe, Yacine Chitour. Optimal indirect stability of a weakly damped elastic abstract system of second order equations coupled by velocities. Communications on Pure & Applied Analysis, 2019, 18 (5) : 27892818. doi: 10.3934/cpaa.2019125 
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Yang Han. On the cauchy problem for the coupled Klein Gordon Schrödinger system with rough data. Discrete & Continuous Dynamical Systems  A, 2005, 12 (2) : 233242. doi: 10.3934/dcds.2005.12.233 
[8] 
Xinyu Mei, Chunyou Sun. Attractors for A supcubic weakly damped wave equation in $ \mathbb{R}^{3} $. Discrete & Continuous Dynamical Systems  B, 2019, 24 (8) : 41174143. doi: 10.3934/dcdsb.2019053 
[9] 
Yanbing Yang, Runzhang Xu. Nonlinear wave equation with both strongly and weakly damped terms: Supercritical initial energy finite time blow up. Communications on Pure & Applied Analysis, 2019, 18 (3) : 13511358. doi: 10.3934/cpaa.2019065 
[10] 
Fengjuan Meng, Chengkui Zhong. Multiple equilibrium points in global attractor for the weakly damped wave equation with critical exponent. Discrete & Continuous Dynamical Systems  B, 2014, 19 (1) : 217230. doi: 10.3934/dcdsb.2014.19.217 
[11] 
V. Pata, Sergey Zelik. A remark on the damped wave equation. Communications on Pure & Applied Analysis, 2006, 5 (3) : 611616. doi: 10.3934/cpaa.2006.5.611 
[12] 
V. Varlamov, Yue Liu. Cauchy problem for the Ostrovsky equation. Discrete & Continuous Dynamical Systems  A, 2004, 10 (3) : 731753. doi: 10.3934/dcds.2004.10.731 
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Adrien Dekkers, Anna RozanovaPierrat. Cauchy problem for the Kuznetsov equation. Discrete & Continuous Dynamical Systems  A, 2019, 39 (1) : 277307. doi: 10.3934/dcds.2019012 
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Renjun Duan, Shuangqian Liu. Cauchy problem on the VlasovFokkerPlanck equation coupled with the compressible Euler equations through the friction force. Kinetic & Related Models, 2013, 6 (4) : 687700. doi: 10.3934/krm.2013.6.687 
[15] 
Jeong Ja Bae, Mitsuhiro Nakao. Existence problem for the Kirchhoff type wave equation with a localized weakly nonlinear dissipation in exterior domains. Discrete & Continuous Dynamical Systems  A, 2004, 11 (2&3) : 731743. doi: 10.3934/dcds.2004.11.731 
[16] 
Huijun He, Zhaoyang Yin. On the Cauchy problem for a generalized twocomponent shallow water wave system with fractional higherorder inertia operators. Discrete & Continuous Dynamical Systems  A, 2017, 37 (3) : 15091537. doi: 10.3934/dcds.2017062 
[17] 
Olivier Goubet, Ezzeddine Zahrouni. On a time discretization of a weakly damped forced nonlinear Schrödinger equation. Communications on Pure & Applied Analysis, 2008, 7 (6) : 14291442. doi: 10.3934/cpaa.2008.7.1429 
[18] 
Lorena Bociu, Petronela Radu. Existence of weak solutions to the Cauchy problem of a semilinear wave equation with supercritical interior source and damping. Conference Publications, 2009, 2009 (Special) : 6071. doi: 10.3934/proc.2009.2009.60 
[19] 
Rudong Zheng, Zhaoyang Yin. The Cauchy problem for a generalized Novikov equation. Discrete & Continuous Dynamical Systems  A, 2017, 37 (6) : 35033519. doi: 10.3934/dcds.2017149 
[20] 
Masahiro Ikeda, Takahisa Inui, Mamoru Okamoto, Yuta Wakasugi. $ L^p $$ L^q $ estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data. Communications on Pure & Applied Analysis, 2019, 18 (4) : 19672008. doi: 10.3934/cpaa.2019090 
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