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General decay rate estimates and numerical analysis for a transmission problem with locally distributed nonlinear damping
Marcelo M. Cavalcanti, Wellington J. Corrêa, Carole Rosier and Flávio R. Dias Silva Computers & Mathematics with Applications 73(10) 2293 (2017) https://doi.org/10.1016/j.camwa.2017.03.012
Global solution and blow-up for a class of pseudo
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A nonlinear thermoelastic Bresse system: Global existence and exponential stability
Luci Harue Fatori, Pedro Roberto de Lima and Hugo D. Fernández Sare Journal of Mathematical Analysis and Applications 443(2) 1071 (2016) https://doi.org/10.1016/j.jmaa.2016.05.037
Global well-posedness for a fourth order pseudo-parabolic equation with memory and source terms
Sharp time decay rates on a hyperbolic plate model under effects of an intermediate damping with a time-dependent coefficient
Marcello D'Abbicco, Ruy Coimbra Charão and Cleverson Roberto da Luz Discrete and Continuous Dynamical Systems 36(5) 2419 (2015) https://doi.org/10.3934/dcds.2016.36.2419
General decay rates for the wave equation with mixed-type damping mechanisms on unbounded domain with finite measure
Flávio R. Dias Silva, Flávio A. F. Nascimento and José H. Rodrigues Zeitschrift für angewandte Mathematik und Physik 66(6) 3123 (2015) https://doi.org/10.1007/s00033-015-0547-5
General decay rate estimates for viscoelastic wave equation with variable coefficients
New Prospects in Direct, Inverse and Control Problems for Evolution Equations
Irena Lasiecka and Xiaojun Wang Springer INdAM Series, New Prospects in Direct, Inverse and Control Problems for Evolution Equations 10 271 (2014) https://doi.org/10.1007/978-3-319-11406-4_14
Boundary Feedback Stabilization of Kirchhoff-Type Timoshenko System
Uniform Decay Rates for the Wave Equation with Nonlinear Damping Locally Distributed in Unbounded Domains with Finite Measure
Marcelo M. Cavalcanti, Flávio R. Dias Silva and Valéria N. Domingos Cavalcanti SIAM Journal on Control and Optimization 52(1) 545 (2014) https://doi.org/10.1137/120862545
Progress in Partial Differential Equations
Abbes Benaissa and Salim A. Messaoudi Springer Proceedings in Mathematics & Statistics, Progress in Partial Differential Equations 44 1 (2013) https://doi.org/10.1007/978-3-319-00125-8_1
Uniform decay rate estimates for a class of quasi-linear hyperbolic equations with non-linear damping and source terms
Global attractor and decay estimates of solutions to a class of nonlinear evolution equations
Caisheng Chen, Hui Wang and ShengLan Zhu Mathematical Methods in the Applied Sciences 34(5) 497 (2011) https://doi.org/10.1002/mma.1370
RETRACTED ARTICLE: Global existence and general decay estimates of solutions of the degenerate or non–degenerate Kirchhoff equation with general dissipation
Elementary Feedback Stabilization of the Linear Reaction-Convection-Diffusion Equation and the Wave Equation
Weijiu Liu Mathématiques et Applications, Elementary Feedback Stabilization of the Linear Reaction-Convection-Diffusion Equation and the Wave Equation 66 233 (2010) https://doi.org/10.1007/978-3-642-04613-1_6
Energy decay rates for solutions of the wave equation with boundary damping and source term
Stabilization of the damped wave equation with Cauchy–Ventcel boundary conditions
Marcelo M. Cavalcanti, Valéria N. Domingos Cavalcanti, Ryuichi Fukuoka and Daniel Toundykov Journal of Evolution Equations 9(1) 143 (2009) https://doi.org/10.1007/s00028-009-0002-1
Energy decay rate for a coupled hyperbolic system with nonlinear damping
Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping–source interaction
Marcelo M. Cavalcanti, Valéria N. Domingos Cavalcanti and Irena Lasiecka Journal of Differential Equations 236(2) 407 (2007) https://doi.org/10.1016/j.jde.2007.02.004
Decay estimates for the wave equation of p‐Laplacian type with dissipation of m‐Laplacian type
Abbès Benaissa and Soufiane Mokeddem Mathematical Methods in the Applied Sciences 30(2) 237 (2007) https://doi.org/10.1002/mma.789
Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms
M.M. Cavalcanti, V.N. Domingos Cavalcanti and J.A. Soriano Progress in Nonlinear Differential Equations and Their Applications, Contributions to Nonlinear Analysis 66 161 (2005) https://doi.org/10.1007/3-7643-7401-2_11
Existence and asymptotic stability for evolution problems on manifolds with damping and source terms
Existence and decay rate estimates for the wave equation with nonlinear boundary damping and source term
Marcelo M Cavalcanti, Valéria N Domingos Cavalcanti and Patrick Martinez Journal of Differential Equations 203(1) 119 (2004) https://doi.org/10.1016/j.jde.2004.04.011
Nouvelles inégalités intégrales et applications à la stabilisation des systèmes distribués non dissipatifs