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Attractors for semilinear strongly damped wave equations on $\mathbb R^3$
1.  Dipartimento di Matematica, Università Cattolica del S. Cuore, Brescia, Italy 
2.  Dipartimento di Matematica "F. Brioschi", Politecnico di Milano 
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Filippo Dell'Oro. Global attractors for strongly damped wave equations with subcriticalcritical nonlinearities. Communications on Pure and Applied Analysis, 2013, 12 (2) : 10151027. doi: 10.3934/cpaa.2013.12.1015 
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Zhaojuan Wang, Shengfan Zhou. Existence and upper semicontinuity of random attractors for nonautonomous stochastic strongly damped wave equation with multiplicative noise. Discrete and Continuous Dynamical Systems, 2017, 37 (5) : 27872812. doi: 10.3934/dcds.2017120 
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A. Kh. Khanmamedov. Global attractors for strongly damped wave equations with displacement dependent damping and nonlinear source term of critical exponent. Discrete and Continuous Dynamical Systems, 2011, 31 (1) : 119138. doi: 10.3934/dcds.2011.31.119 
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Pengyan Ding, Zhijian Yang. Attractors of the strongly damped Kirchhoff wave equation on $\mathbb{R}^{N}$. Communications on Pure and Applied Analysis, 2019, 18 (2) : 825843. doi: 10.3934/cpaa.2019040 
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Pierre Fabrie, Cedric Galusinski, A. Miranville, Sergey Zelik. Uniform exponential attractors for a singularly perturbed damped wave equation. Discrete and Continuous Dynamical Systems, 2004, 10 (1&2) : 211238. doi: 10.3934/dcds.2004.10.211 
[7] 
Renhai Wang, Yangrong Li. Backward compactness and periodicity of random attractors for stochastic wave equations with varying coefficients. Discrete and Continuous Dynamical Systems  B, 2019, 24 (8) : 41454167. doi: 10.3934/dcdsb.2019054 
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John M. Ball. Global attractors for damped semilinear wave equations. Discrete and Continuous Dynamical Systems, 2004, 10 (1&2) : 3152. doi: 10.3934/dcds.2004.10.31 
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Yanan Li, Zhijian Yang, Na Feng. Uniform attractors and their continuity for the nonautonomous Kirchhoff wave models. Discrete and Continuous Dynamical Systems  B, 2021, 26 (12) : 62676284. doi: 10.3934/dcdsb.2021018 
[10] 
Ge Zu, Bin Guo. Bounds for lifespan of solutions to strongly damped semilinear wave equations with logarithmic sources and arbitrary initial energy. Evolution Equations and Control Theory, 2021, 10 (2) : 259270. doi: 10.3934/eect.2020065 
[11] 
Alexandre N. Carvalho, Jan W. Cholewa. Strongly damped wave equations in $W^(1,p)_0 (\Omega) \times L^p(\Omega)$. Conference Publications, 2007, 2007 (Special) : 230239. doi: 10.3934/proc.2007.2007.230 
[12] 
Cedric Galusinski, Serguei Zelik. Uniform Gevrey regularity for the attractor of a damped wave equation. Conference Publications, 2003, 2003 (Special) : 305312. doi: 10.3934/proc.2003.2003.305 
[13] 
Martin Michálek, Dalibor Pražák, Jakub Slavík. Semilinear damped wave equation in locally uniform spaces. Communications on Pure and Applied Analysis, 2017, 16 (5) : 16731695. doi: 10.3934/cpaa.2017080 
[14] 
Shengfan Zhou, Linshan Wang. Kernel sections for damped nonautonomous wave equations with critical exponent. Discrete and Continuous Dynamical Systems, 2003, 9 (2) : 399412. doi: 10.3934/dcds.2003.9.399 
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Fabrizio Colombo, Davide Guidetti. Identification of the memory kernel in the strongly damped wave equation by a flux condition. Communications on Pure and Applied Analysis, 2009, 8 (2) : 601620. doi: 10.3934/cpaa.2009.8.601 
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Zhijian Yang, Zhiming Liu. Global attractor for a strongly damped wave equation with fully supercritical nonlinearities. Discrete and Continuous Dynamical Systems, 2017, 37 (4) : 21812205. doi: 10.3934/dcds.2017094 
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Piotr Kokocki. Homotopy invariants methods in the global dynamics of strongly damped wave equation. Discrete and Continuous Dynamical Systems, 2016, 36 (6) : 32273250. doi: 10.3934/dcds.2016.36.3227 
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Hui Yang, Yuzhu Han. Initial boundary value problem for a strongly damped wave equation with a general nonlinearity. Evolution Equations and Control Theory, 2022, 11 (3) : 635648. doi: 10.3934/eect.2021019 
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Björn Birnir, Kenneth Nelson. The existence of smooth attractors of damped and driven nonlinear wave equations with critical exponent , s = 5. Conference Publications, 1998, 1998 (Special) : 100117. doi: 10.3934/proc.1998.1998.100 
[20] 
Fuqin Sun, Mingxin Wang. Nonexistence of global solutions for nonlinear strongly damped hyperbolic systems. Discrete and Continuous Dynamical Systems, 2005, 12 (5) : 949958. doi: 10.3934/dcds.2005.12.949 
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