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On existence, uniform decay rates and blow up for solutions of systems of nonlinear wave equations with damping and source terms
Higher order energy decay rates for damped wave equations with variable coefficients
1.  Department of Mathematics, University of NebraskaLincoln, Avery Hall 239, Lincoln, NE 68588, United States 
2.  Department of Mathematics, University of Tennessee, Knoxville, TN 370961300 
3.  Department of Mathematics, University of TennesseeKnoxville, TN 37996, United States 
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Gervy Marie Angeles, Gilbert Peralta. Energy method for exponential stability of coupled onedimensional hyperbolic PDEODE systems. Evolution Equations & Control Theory, 2020 doi: 10.3934/eect.2020108 
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Yangrong Li, Shuang Yang, Qiangheng Zhang. Odd random attractors for stochastic nonautonomous KuramotoSivashinsky equations without dissipation. Electronic Research Archive, 2020, 28 (4) : 15291544. doi: 10.3934/era.2020080 
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Serge Dumont, Olivier Goubet, Youcef Mammeri. Decay of solutions to one dimensional nonlinear Schrödinger equations with white noise dispersion. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020456 
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HaiFeng Huo, ShiKe Hu, Hong Xiang. Traveling wave solution for a diffusion SEIR epidemic model with selfprotection and treatment. Electronic Research Archive, , () : . doi: 10.3934/era.2020118 
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Nguyen Huy Tuan. On an initial and final value problem for fractional nonclassical diffusion equations of Kirchhoff type. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020354 
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Weisong Dong, Chang Li. Second order estimates for complex Hessian equations on Hermitian manifolds. Discrete & Continuous Dynamical Systems  A, 2020 doi: 10.3934/dcds.2020377 
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Honglei Lang, Yunhe Sheng. Linearization of the higher analogue of Courant algebroids. Journal of Geometric Mechanics, 2020, 12 (4) : 585606. doi: 10.3934/jgm.2020025 
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Lin Shi, Xuemin Wang, Dingshi Li. Limiting behavior of nonautonomous stochastic reactiondiffusion equations with colored noise on unbounded thin domains. Communications on Pure & Applied Analysis, 2020, 19 (12) : 53675386. doi: 10.3934/cpaa.2020242 
[13] 
Mathew Gluck. Classification of solutions to a system of $ n^{\rm th} $ order equations on $ \mathbb R^n $. Communications on Pure & Applied Analysis, 2020, 19 (12) : 54135436. doi: 10.3934/cpaa.2020246 
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Wenqiang Zhao, Yijin Zhang. Highorder WongZakai approximations for nonautonomous stochastic $ p $Laplacian equations on $ \mathbb{R}^N $. Communications on Pure & Applied Analysis, 2021, 20 (1) : 243280. doi: 10.3934/cpaa.2020265 
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Mark F. Demers. Uniqueness and exponential mixing for the measure of maximal entropy for piecewise hyperbolic maps. Discrete & Continuous Dynamical Systems  A, 2021, 41 (1) : 217256. doi: 10.3934/dcds.2020217 
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[20] 
Xinyu Mei, Yangmin Xiong, Chunyou Sun. Pullback attractor for a weakly damped wave equation with supcubic nonlinearity. Discrete & Continuous Dynamical Systems  A, 2021, 41 (2) : 569600. doi: 10.3934/dcds.2020270 
2019 Impact Factor: 1.233
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