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A unique positive solution to a system of semilinear elliptic equations
Decay property of regularityloss type for quasilinear hyperbolic systems of viscoelasticity
1.  Graduate School of Mathematics, Kyushu University, 744 Motooka, Nishiku, Fukuoka 8190395, Japan 
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References:
[1] 
Ryo Ikehata, Shingo Kitazaki. Optimal energy decay rates for some wave equations with double damping terms. Evolution Equations and Control Theory, 2019, 8 (4) : 825846. doi: 10.3934/eect.2019040 
[2] 
Monica Conti, V. Pata. Weakly dissipative semilinear equations of viscoelasticity. Communications on Pure and Applied Analysis, 2005, 4 (4) : 705720. doi: 10.3934/cpaa.2005.4.705 
[3] 
Nguyen Dinh Cong. Semigroup property of fractional differential operators and its applications. Discrete and Continuous Dynamical Systems  B, 2023, 28 (1) : 119. doi: 10.3934/dcdsb.2022064 
[4] 
Nakao Hayashi, Chunhua Li, Pavel I. Naumkin. Upper and lower time decay bounds for solutions of dissipative nonlinear Schrödinger equations. Communications on Pure and Applied Analysis, 2017, 16 (6) : 20892104. doi: 10.3934/cpaa.2017103 
[5] 
SunHo Choi. Weighted energy method and long wave short wave decomposition on the linearized compressible NavierStokes equation. Networks and Heterogeneous Media, 2013, 8 (2) : 465479. doi: 10.3934/nhm.2013.8.465 
[6] 
Yanbing Yang, Runzhang Xu. Nonlinear wave equation with both strongly and weakly damped terms: Supercritical initial energy finite time blow up. Communications on Pure and Applied Analysis, 2019, 18 (3) : 13511358. doi: 10.3934/cpaa.2019065 
[7] 
Marat Akhmet, Duygu Aruğaslan. LyapunovRazumikhin method for differential equations with piecewise constant argument. Discrete and Continuous Dynamical Systems, 2009, 25 (2) : 457466. doi: 10.3934/dcds.2009.25.457 
[8] 
Ferhat Mohamed, Hakem Ali. Energy decay of solutions for the wave equation with a timevarying delay term in the weakly nonlinear internal feedbacks. Discrete and Continuous Dynamical Systems  B, 2017, 22 (2) : 491506. doi: 10.3934/dcdsb.2017024 
[9] 
Luciano Pandolfi. Riesz systems and moment method in the study of viscoelasticity in one space dimension. Discrete and Continuous Dynamical Systems  B, 2010, 14 (4) : 14871510. doi: 10.3934/dcdsb.2010.14.1487 
[10] 
Vladislav Balashov, Alexander Zlotnik. An energy dissipative semidiscrete finitedifference method on staggered meshes for the 3D compressible isothermal Navier–Stokes–Cahn–Hilliard equations. Journal of Computational Dynamics, 2020, 7 (2) : 291312. doi: 10.3934/jcd.2020012 
[11] 
Makoto Nakamura. Remarks on global solutions of dissipative wave equations with exponential nonlinear terms. Communications on Pure and Applied Analysis, 2015, 14 (4) : 15331545. doi: 10.3934/cpaa.2015.14.1533 
[12] 
Yves Coudène. The Hopf argument. Journal of Modern Dynamics, 2007, 1 (1) : 147153. doi: 10.3934/jmd.2007.1.147 
[13] 
Yi Yang, Robert J. Sacker. Periodic unimodal Allee maps, the semigroup property and the $\lambda$Ricker map with Allee effect. Discrete and Continuous Dynamical Systems  B, 2014, 19 (2) : 589606. doi: 10.3934/dcdsb.2014.19.589 
[14] 
Michinori Ishiwata, Makoto Nakamura, Hidemitsu Wadade. Remarks on the Cauchy problem of KleinGordon equations with weighted nonlinear terms. Discrete and Continuous Dynamical Systems, 2015, 35 (10) : 48894903. doi: 10.3934/dcds.2015.35.4889 
[15] 
Xin Yu, Guojie Zheng, Chao Xu. The $C$regularized semigroup method for partial differential equations with delays. Discrete and Continuous Dynamical Systems, 2016, 36 (9) : 51635181. doi: 10.3934/dcds.2016024 
[16] 
Gustavo Alberto Perla Menzala, Julian Moises Sejje Suárez. A thermo piezoelectric model: Exponential decay of the total energy. Discrete and Continuous Dynamical Systems, 2013, 33 (11&12) : 52735292. doi: 10.3934/dcds.2013.33.5273 
[17] 
Mohammed Aassila. On energy decay rate for linear damped systems. Discrete and Continuous Dynamical Systems, 2002, 8 (4) : 851864. doi: 10.3934/dcds.2002.8.851 
[18] 
Rachid Assel, Mohamed Ghazel. Energy decay for the damped wave equation on an unbounded network. Evolution Equations and Control Theory, 2018, 7 (3) : 335351. doi: 10.3934/eect.2018017 
[19] 
Bopeng Rao. Optimal energy decay rate in a damped Rayleigh beam. Discrete and Continuous Dynamical Systems, 1998, 4 (4) : 721734. doi: 10.3934/dcds.1998.4.721 
[20] 
George J. Bautista, Ademir F. Pazoto. Decay of solutions for a dissipative higherorder Boussinesq system on a periodic domain. Communications on Pure and Applied Analysis, 2020, 19 (2) : 747769. doi: 10.3934/cpaa.2020035 
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