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On the initial boundary value problem for the damped Boussinesq equation
1.  Departamento de Matematicas y Estadistica, Facultad de Ciencias, Universidad Nacional de Colombia, Bogota, Colombia 
[1] 
Vladimir Varlamov. Eigenfunction expansion method and the longtime asymptotics for the damped Boussinesq equation. Discrete & Continuous Dynamical Systems, 2001, 7 (4) : 675702. doi: 10.3934/dcds.2001.7.675 
[2] 
Shaoyong Lai, Yong Hong Wu, Xu Yang. The global solution of an initial boundary value problem for the damped Boussinesq equation. Communications on Pure & Applied Analysis, 2004, 3 (2) : 319328. doi: 10.3934/cpaa.2004.3.319 
[3] 
Yi Zhou, Jianli Liu. The initialboundary value problem on a strip for the equation of timelike extremal surfaces. Discrete & Continuous Dynamical Systems, 2009, 23 (1&2) : 381397. doi: 10.3934/dcds.2009.23.381 
[4] 
Linglong Du, Caixuan Ren. Pointwise wave behavior of the initialboundary value problem for the nonlinear damped wave equation in $\mathbb{R}_{+}^{n} $. Discrete & Continuous Dynamical Systems  B, 2019, 24 (7) : 32653280. doi: 10.3934/dcdsb.2018319 
[5] 
Changming Song, Hong Li, Jina Li. Initial boundary value problem for the singularly perturbed Boussinesqtype equation. Conference Publications, 2013, 2013 (special) : 709717. doi: 10.3934/proc.2013.2013.709 
[6] 
Hui Yang, Yuzhu Han. Initial boundary value problem for a strongly damped wave equation with a general nonlinearity. Evolution Equations & Control Theory, 2021 doi: 10.3934/eect.2021019 
[7] 
Martn P. Árciga Alejandre, Elena I. Kaikina. Mixed initialboundary value problem for OttSudanOstrovskiy equation. Discrete & Continuous Dynamical Systems, 2012, 32 (2) : 381409. doi: 10.3934/dcds.2012.32.381 
[8] 
Türker Özsarı, Nermin Yolcu. The initialboundary value problem for the biharmonic Schrödinger equation on the halfline. Communications on Pure & Applied Analysis, 2019, 18 (6) : 32853316. doi: 10.3934/cpaa.2019148 
[9] 
Boling Guo, Jun Wu. Wellposedness of the initialboundary value problem for the fourthorder nonlinear Schrödinger equation. Discrete & Continuous Dynamical Systems  B, 2021 doi: 10.3934/dcdsb.2021205 
[10] 
Gilles Carbou, Bernard Hanouzet. Relaxation approximation of the Kerr model for the impedance initialboundary value problem. Conference Publications, 2007, 2007 (Special) : 212220. doi: 10.3934/proc.2007.2007.212 
[11] 
Xianpeng Hu, Dehua Wang. The initialboundary value problem for the compressible viscoelastic flows. Discrete & Continuous Dynamical Systems, 2015, 35 (3) : 917934. doi: 10.3934/dcds.2015.35.917 
[12] 
V. A. Dougalis, D. E. Mitsotakis, J.C. Saut. On initialboundary value problems for a Boussinesq system of BBMBBM type in a plane domain. Discrete & Continuous Dynamical Systems, 2009, 23 (4) : 11911204. doi: 10.3934/dcds.2009.23.1191 
[13] 
Xu Liu, Jun Zhou. Initialboundary value problem for a fourthorder plate equation with HardyHénon potential and polynomial nonlinearity. Electronic Research Archive, 2020, 28 (2) : 599625. doi: 10.3934/era.2020032 
[14] 
Xiaoyun Cai, Liangwen Liao, Yongzhong Sun. Global strong solution to the initialboundary value problem of a 2D KazhikhovSmagulov type model. Discrete & Continuous Dynamical Systems  S, 2014, 7 (5) : 917923. doi: 10.3934/dcdss.2014.7.917 
[15] 
Peng Jiang. Unique global solution of an initialboundary value problem to a diffusion approximation model in radiation hydrodynamics. Discrete & Continuous Dynamical Systems, 2015, 35 (7) : 30153037. doi: 10.3934/dcds.2015.35.3015 
[16] 
Michal Beneš. Mixed initialboundary value problem for the threedimensional NavierStokes equations in polyhedral domains. Conference Publications, 2011, 2011 (Special) : 135144. doi: 10.3934/proc.2011.2011.135 
[17] 
Haifeng Hu, Kaijun Zhang. Analysis on the initialboundary value problem of a full bipolar hydrodynamic model for semiconductors. Discrete & Continuous Dynamical Systems  B, 2014, 19 (6) : 16011626. doi: 10.3934/dcdsb.2014.19.1601 
[18] 
Tatsien Li, Libin Wang. Global classical solutions to a kind of mixed initialboundary value problem for quasilinear hyperbolic systems. Discrete & Continuous Dynamical Systems, 2005, 12 (1) : 5978. doi: 10.3934/dcds.2005.12.59 
[19] 
ShouFu Tian. Initialboundary value problems for the coupled modified Kortewegde Vries equation on the interval. Communications on Pure & Applied Analysis, 2018, 17 (3) : 923957. doi: 10.3934/cpaa.2018046 
[20] 
Runzhang Xu, Mingyou Zhang, Shaohua Chen, Yanbing Yang, Jihong Shen. The initialboundary value problems for a class of sixth order nonlinear wave equation. Discrete & Continuous Dynamical Systems, 2017, 37 (11) : 56315649. doi: 10.3934/dcds.2017244 
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