
Previous Article
The existence and the structure of uniform global attractors for nonautonomous ReactionDiffusion systems without uniqueness
 DCDSS Home
 This Issue

Next Article
A stabilizing effect of a highfrequency driving force on the motion of a viscous, compressible, and heat conducting fluid
Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions
1.  LAMSIN, ENIT, University of Tunis Elmanar, Tunisia 
2.  Kerchof Hall , P. O. Box 400137, University of Virginia, Charlottesville, VA 229044137, United States 
3.  Department of Mathematics, University of NebraskaLincoln, Lincoln, NE 68588 
[1] 
Moez Daoulatli. Energy decay rates for solutions of the wave equation with linear damping in exterior domain. Evolution Equations & Control Theory, 2016, 5 (1) : 3759. doi: 10.3934/eect.2016.5.37 
[2] 
Moez Daoulatli. Rates of decay for the wave systems with time dependent damping. Discrete & Continuous Dynamical Systems  A, 2011, 31 (2) : 407443. doi: 10.3934/dcds.2011.31.407 
[3] 
Kim Dang Phung. Decay of solutions of the wave equation with localized nonlinear damping and trapped rays. Mathematical Control & Related Fields, 2011, 1 (2) : 251265. doi: 10.3934/mcrf.2011.1.251 
[4] 
Mohammad A. Rammaha, Daniel Toundykov, Zahava Wilstein. Global existence and decay of energy for a nonlinear wave equation with $p$Laplacian damping. Discrete & Continuous Dynamical Systems  A, 2012, 32 (12) : 43614390. doi: 10.3934/dcds.2012.32.4361 
[5] 
Claudianor O. Alves, M. M. Cavalcanti, Valeria N. Domingos Cavalcanti, Mohammad A. Rammaha, Daniel Toundykov. On existence, uniform decay rates and blow up for solutions of systems of nonlinear wave equations with damping and source terms. Discrete & Continuous Dynamical Systems  S, 2009, 2 (3) : 583608. doi: 10.3934/dcdss.2009.2.583 
[6] 
Ryo Ikehata, Shingo Kitazaki. Optimal energy decay rates for some wave equations with double damping terms. Evolution Equations & Control Theory, 2019, 8 (4) : 825846. doi: 10.3934/eect.2019040 
[7] 
Tae Gab Ha. On viscoelastic wave equation with nonlinear boundary damping and source term. Communications on Pure & Applied Analysis, 2010, 9 (6) : 15431576. doi: 10.3934/cpaa.2010.9.1543 
[8] 
Le Thi Phuong Ngoc, Nguyen Thanh Long. Existence and exponential decay for a nonlinear wave equation with nonlocal boundary conditions. Communications on Pure & Applied Analysis, 2013, 12 (5) : 20012029. doi: 10.3934/cpaa.2013.12.2001 
[9] 
Kangsheng Liu, Xu Liu, Bopeng Rao. Eventual regularity of a wave equation with boundary dissipation. Mathematical Control & Related Fields, 2012, 2 (1) : 1728. doi: 10.3934/mcrf.2012.2.17 
[10] 
Jun Zhou. Global existence and energy decay estimate of solutions for a class of nonlinear higherorder wave equation with general nonlinear dissipation and source term. Discrete & Continuous Dynamical Systems  S, 2017, 10 (5) : 11751185. doi: 10.3934/dcdss.2017064 
[11] 
Dalibor Pražák. On the dimension of the attractor for the wave equation with nonlinear damping. Communications on Pure & Applied Analysis, 2005, 4 (1) : 165174. doi: 10.3934/cpaa.2005.4.165 
[12] 
Belkacem SaidHouari, Flávio A. Falcão Nascimento. Global existence and nonexistence for the viscoelastic wave equation with nonlinear boundary dampingsource interaction. Communications on Pure & Applied Analysis, 2013, 12 (1) : 375403. doi: 10.3934/cpaa.2013.12.375 
[13] 
Nicolas Fourrier, Irena Lasiecka. Regularity and stability of a wave equation with a strong damping and dynamic boundary conditions. Evolution Equations & Control Theory, 2013, 2 (4) : 631667. doi: 10.3934/eect.2013.2.631 
[14] 
Aníbal RodríguezBernal, Enrique Zuazua. Parabolic singular limit of a wave equation with localized boundary damping. Discrete & Continuous Dynamical Systems  A, 1995, 1 (3) : 303346. doi: 10.3934/dcds.1995.1.303 
[15] 
Marcelo Moreira Cavalcanti. Existence and uniform decay for the EulerBernoulli viscoelastic equation with nonlocal boundary dissipation. Discrete & Continuous Dynamical Systems  A, 2002, 8 (3) : 675695. doi: 10.3934/dcds.2002.8.675 
[16] 
Takeshi Taniguchi. Exponential boundary stabilization for nonlinear wave equations with localized damping and nonlinear boundary condition. Communications on Pure & Applied Analysis, 2017, 16 (5) : 15711585. doi: 10.3934/cpaa.2017075 
[17] 
Denis Mercier, Virginie Régnier. Decay rate of the Timoshenko system with one boundary damping. Evolution Equations & Control Theory, 2019, 8 (2) : 423445. doi: 10.3934/eect.2019021 
[18] 
Mohammad Akil, Ali Wehbe. Stabilization of multidimensional wave equation with locally boundary fractional dissipation law under geometric conditions. Mathematical Control & Related Fields, 2019, 9 (1) : 97116. doi: 10.3934/mcrf.2019005 
[19] 
Gen Nakamura, Michiyuki Watanabe. An inverse boundary value problem for a nonlinear wave equation. Inverse Problems & Imaging, 2008, 2 (1) : 121131. doi: 10.3934/ipi.2008.2.121 
[20] 
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 
2018 Impact Factor: 0.545
Tools
Metrics
Other articles
by authors
[Back to Top]