Gonzalez Martinez, Victor Hugo; Marchiori, Talita Druziani; de Souza Franco, Alisson Younio Stabilization of a semilinear wave equation with delay. (English) Zbl 07818457 J. Dyn. Differ. Equations 36, No. 1, 161-208 (2024). MSC: 35L05 35L20 35B40 93C43 93D20 PDFBibTeX XMLCite \textit{V. H. Gonzalez Martinez} et al., J. Dyn. Differ. Equations 36, No. 1, 161--208 (2024; Zbl 07818457) Full Text: DOI
Vanspranghe, Nicolas; Ferrante, Francesco; Prieur, Christophe Stabilization of the wave equation through nonlinear Dirichlet actuation. (English) Zbl 1523.35060 ESAIM, Control Optim. Calc. Var. 29, Paper No. 57, 23 p. (2023). Reviewer: Kaïs Ammari (Monastir) MSC: 35B40 35L05 35L20 93D15 93D20 PDFBibTeX XMLCite \textit{N. Vanspranghe} et al., ESAIM, Control Optim. Calc. Var. 29, Paper No. 57, 23 p. (2023; Zbl 1523.35060) Full Text: DOI arXiv
Santos, M. L.; Almeida Júnior, D. S.; Cordeiro, S. M. S.; Lobato, R. F. C. Double-wall carbon nanotubes model with nonlinear localized damping: asymptotic stability. (English) Zbl 1519.35317 Adv. Differ. Equ. 28, No. 9-10, 753-777 (2023). MSC: 35Q74 35Q82 74F05 74B20 82D80 35B40 35B35 35A01 35A02 35B05 PDFBibTeX XMLCite \textit{M. L. Santos} et al., Adv. Differ. Equ. 28, No. 9--10, 753--777 (2023; Zbl 1519.35317) Full Text: DOI
Khemmoudj, Ammar General decay of the solution to a nonlinear viscoelastic beam with delay. (English) Zbl 1518.35106 SN Partial Differ. Equ. Appl. 4, No. 3, Paper No. 20, 25 p. (2023). MSC: 35B40 35L57 35L76 74K10 93D15 93D20 PDFBibTeX XMLCite \textit{A. Khemmoudj}, SN Partial Differ. Equ. Appl. 4, No. 3, Paper No. 20, 25 p. (2023; Zbl 1518.35106) Full Text: DOI
Antunes, J. G. Simion; Cavalcanti, M. M.; Cavalcanti, V. N. Domingos; Vicente, A. Exponential stability for the 2D wave model with localized memory in a past history framework and nonlinearity of arbitrary growth. (English) Zbl 1504.35060 J. Geom. Anal. 33, No. 2, Paper No. 39, 62 p. (2023). MSC: 35B40 35A27 35L20 35L71 35R09 PDFBibTeX XMLCite \textit{J. G. S. Antunes} et al., J. Geom. Anal. 33, No. 2, Paper No. 39, 62 p. (2023; Zbl 1504.35060) Full Text: DOI
Cavalcanti, M. M.; Domingos Cavalcanti, V. N.; Gonzalez Martinez, V. H.; Özsarı, T. Decay rate estimates for the wave equation with subcritical semilinearities and locally distributed nonlinear dissipation. (English) Zbl 1501.35055 Appl. Math. Optim. 87, No. 1, Paper No. 2, 76 p. (2023). MSC: 35B40 35A27 35L20 35L71 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., Appl. Math. Optim. 87, No. 1, Paper No. 2, 76 p. (2023; Zbl 1501.35055) Full Text: DOI arXiv
Bortot, César A.; Souza, Thales M.; Zanchetta, Janaina P. Asymptotic behavior of the coupled Klein-Gordon-Schrödinger systems on compact manifolds. (English) Zbl 07780535 Math. Methods Appl. Sci. 45, No. 4, 2254-2275 (2022). MSC: 35B40 35L71 35Q55 35R01 PDFBibTeX XMLCite \textit{C. A. Bortot} et al., Math. Methods Appl. Sci. 45, No. 4, 2254--2275 (2022; Zbl 07780535) Full Text: DOI
Freitas, M. M.; Caljaro, R. Q.; Ramos, A. J. A.; Rodrigues, H. C. M. Long-time dynamics of ternary mixtures with localized dissipation. (English) Zbl 1509.37110 J. Math. Phys. 63, No. 12, Article ID 121508, 28 p. (2022). MSC: 37L30 PDFBibTeX XMLCite \textit{M. M. Freitas} et al., J. Math. Phys. 63, No. 12, Article ID 121508, 28 p. (2022; Zbl 1509.37110) Full Text: DOI
Ihaddadene, Lila; Khemmoudj, Ammar General decay for a wave equation with Wentzell boundary conditions and nonlinear delay terms. (English) Zbl 1507.93109 Int. J. Control 95, No. 9, 2565-2580 (2022). Reviewer: Qi Lu (Chengdu) MSC: 93C20 35L05 93C43 93C10 PDFBibTeX XMLCite \textit{L. Ihaddadene} and \textit{A. Khemmoudj}, Int. J. Control 95, No. 9, 2565--2580 (2022; Zbl 1507.93109) Full Text: DOI
Cavalcanti, Marcelo M.; Mansouri, Sabeur; Gonzalez Martinez, V. H. Uniform stabilization for the coupled semi-linear wave and beam equations with distributed nonlinear feedback. (English) Zbl 1480.35031 J. Math. Anal. Appl. 508, No. 1, Article ID 125858, 44 p. (2022). MSC: 35B40 35L57 35L76 35B07 93D15 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., J. Math. Anal. Appl. 508, No. 1, Article ID 125858, 44 p. (2022; Zbl 1480.35031) Full Text: DOI
Santos, M. L.; Almeida Júnior, D. S.; Cordeiro, S. M. S. Energy decay for a porous-elastic system with nonlinear localized damping. (English) Zbl 1478.35202 Z. Angew. Math. Phys. 73, No. 1, Paper No. 7, 21 p. (2022). MSC: 35Q74 74K10 74M10 74B20 74D10 35B40 35B35 PDFBibTeX XMLCite \textit{M. L. Santos} et al., Z. Angew. Math. Phys. 73, No. 1, Paper No. 7, 21 p. (2022; Zbl 1478.35202) Full Text: DOI
Cavalcanti, M. M.; Corrêa, W. J.; Cavalcanti, V. N. Domingos; Silva, M. A. Jorge; Zanchetta, J. P. Uniform stability for a semilinear non-homogeneous Timoshenko system with localized nonlinear damping. (English) Zbl 1477.35025 Z. Angew. Math. Phys. 72, No. 6, Paper No. 191, 20 p. (2021). MSC: 35B35 35B40 35L53 35L71 74K10 93B07 93D20 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., Z. Angew. Math. Phys. 72, No. 6, Paper No. 191, 20 p. (2021; Zbl 1477.35025) Full Text: DOI
Webler, Claudete M.; Zanchetta, Janaina P. Exponential stability for the coupled Klein-Gordon-Schrödinger equations with locally distributed damping in unbounded domains. (English) Zbl 1487.35356 Asymptotic Anal. 123, No. 3-4, 289-315 (2021). MSC: 35Q55 35B35 PDFBibTeX XMLCite \textit{C. M. Webler} and \textit{J. P. Zanchetta}, Asymptotic Anal. 123, No. 3--4, 289--315 (2021; Zbl 1487.35356) Full Text: DOI
Ramos, Anderson J. A.; Santos, Manoel J. Dos; Freitas, Mirelson M.; Almeida Júnior, Dilberto S. Existence of attractors for a nonlinear Timoshenko system with delay. (English) Zbl 1452.35042 J. Dyn. Differ. Equations 32, No. 4, 1997-2020 (2020). MSC: 35B41 35L53 35R10 74H45 74K10 PDFBibTeX XMLCite \textit{A. J. A. Ramos} et al., J. Dyn. Differ. Equations 32, No. 4, 1997--2020 (2020; Zbl 1452.35042) Full Text: DOI
Cavalcanti, M. M.; Domingos Cavalcanti, V. N.; Gonzalez Martinez, V. H.; Peralta, V. A.; Vicente, A. Stability for semilinear hyperbolic coupled system with frictional and viscoelastic localized damping. (English) Zbl 1453.35022 J. Differ. Equations 269, No. 10, 8212-8268 (2020). Reviewer: Jin Liang (Shanghai) MSC: 35B35 35B40 35L53 35L71 35B60 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., J. Differ. Equations 269, No. 10, 8212--8268 (2020; Zbl 1453.35022) Full Text: DOI
Khemmoudj, Ammar; Djaidja, Imane General decay for a viscoelastic rotating Euler-Bernoulli beam. (English) Zbl 1439.35064 Commun. Pure Appl. Anal. 19, No. 7, 3531-3557 (2020). MSC: 35B40 35L53 35L71 35R09 93D15 93D20 PDFBibTeX XMLCite \textit{A. Khemmoudj} and \textit{I. Djaidja}, Commun. Pure Appl. Anal. 19, No. 7, 3531--3557 (2020; Zbl 1439.35064) Full Text: DOI
Bahlil, Mounir; Feng, Baowei Global existence and energy decay of solutions to a coupled wave and Petrovsky system with nonlinear dissipations and source terms. (English) Zbl 1439.35321 Mediterr. J. Math. 17, No. 2, Paper No. 60, 27 p. (2020). MSC: 35L57 93C20 35B40 35L70 35L80 PDFBibTeX XMLCite \textit{M. Bahlil} and \textit{B. Feng}, Mediterr. J. Math. 17, No. 2, Paper No. 60, 27 p. (2020; Zbl 1439.35321) Full Text: DOI
Cavalcanti, M. M.; Domingos Cavalcanti, V. N.; Mansouri, S.; Gonzalez Martinez, V. H.; Hajjej, Z.; Astudillo Rojas, M. R. Asymptotic stability for a strongly coupled Klein-Gordon system in an inhomogeneous medium with locally distributed damping. (English) Zbl 1429.35156 J. Differ. Equations 268, No. 2, 447-489 (2020). Reviewer: Denis Borisov (Ufa) MSC: 35L53 35B40 93B07 35L71 35B35 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., J. Differ. Equations 268, No. 2, 447--489 (2020; Zbl 1429.35156) Full Text: DOI
Zhang, Hongwei; Zhang, Wenxiu; Hu, Qingying Global existence and blow-up of solution for the semilinear wave equation with interior and boundary source terms. (English) Zbl 1513.35012 Bound. Value Probl. 2019, Paper No. 18, 10 p. (2019). MSC: 35A01 35L35 35B44 76X05 PDFBibTeX XMLCite \textit{H. Zhang} et al., Bound. Value Probl. 2019, Paper No. 18, 10 p. (2019; Zbl 1513.35012) Full Text: DOI
Zitouni, Salah; Zennir, Khaled; Bouzettouta, Lamine Uniform decay for a viscoelastic wave equation with density and time-varying delay in \(\mathbb{R}^n\). (English) Zbl 1499.35383 Filomat 33, No. 3, 961-970 (2019). MSC: 35L20 35R09 35R10 45K05 PDFBibTeX XMLCite \textit{S. Zitouni} et al., Filomat 33, No. 3, 961--970 (2019; Zbl 1499.35383) Full Text: DOI
Feng, Baowei; Zennir, Khaled; Laouar, Lakhdar Kassah Decay of an extensible viscoelastic plate equation with a nonlinear time delay. (English) Zbl 1423.35035 Bull. Malays. Math. Sci. Soc. (2) 42, No. 5, 2265-2285 (2019). MSC: 35B40 35B35 93D15 93D20 74K20 74D05 PDFBibTeX XMLCite \textit{B. Feng} et al., Bull. Malays. Math. Sci. Soc. (2) 42, No. 5, 2265--2285 (2019; Zbl 1423.35035) Full Text: DOI
Cavalcanti, Marcelo M.; Corrêa, Wellington J.; Fukuoka, Ryuichi; Hajjej, Zayd Stabilization of a suspension bridge with locally distributed damping. (English) Zbl 1403.93167 Math. Control Signals Syst. 30, No. 4, Paper No. 20, 39 p. (2018). MSC: 93D20 93C95 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., Math. Control Signals Syst. 30, No. 4, Paper No. 20, 39 p. (2018; Zbl 1403.93167) Full Text: DOI
Bahlil, Mounir On convexity for energy decay rates of a viscoelastic equation with a dynamic boundary and nonlinear delay term in the nonlinear internal feedback. (English) Zbl 1393.35009 Palest. J. Math. 7, No. 2, 559-578 (2018). MSC: 35B40 35L70 PDFBibTeX XMLCite \textit{M. Bahlil}, Palest. J. Math. 7, No. 2, 559--578 (2018; Zbl 1393.35009) Full Text: Link
Cavalcanti, Marcelo M.; Domingos Cavalcanti, Valéria N.; Fukuoka, Ryuichi; Pampu, Ademir B.; Astudillo, María Uniform decay rate estimates for the semilinear wave equation in inhomogeneous medium with locally distributed nonlinear damping. (English) Zbl 1397.35025 Nonlinearity 31, No. 9, 4031-4064 (2018). MSC: 35B40 74J30 93D15 35R01 35L71 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., Nonlinearity 31, No. 9, 4031--4064 (2018; Zbl 1397.35025) Full Text: DOI
Cavalcanti, Marcelo M.; Dias Silva, Flávio R.; Domingos Cavalcanti, Valéria N.; Vicente, André Stability for the mixed problem involving the wave equation, with localized damping, in unbounded domains with finite measure. (English) Zbl 1406.35052 SIAM J. Control Optim. 56, No. 4, 2802-2834 (2018). MSC: 35B40 35L05 35B35 35L70 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., SIAM J. Control Optim. 56, No. 4, 2802--2834 (2018; Zbl 1406.35052) Full Text: DOI
Cavalcanti, M. M.; Domingos Cavalcanti, V. N.; Jorge Silva, M. A.; de Souza Franco, A. Y. Exponential stability for the wave model with localized memory in a past history framework. (English) Zbl 1404.35034 J. Differ. Equations 264, No. 11, 6535-6584 (2018). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35B35 35A27 74Dxx 35L20 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., J. Differ. Equations 264, No. 11, 6535--6584 (2018; Zbl 1404.35034) Full Text: DOI
Feng, Baowei; Li, Haiyan General decay of solutions to a one-dimensional thermoelastic beam with variable coefficients. (English) Zbl 1378.35034 Bound. Value Probl. 2017, Paper No. 158, 13 p. (2017). MSC: 35B40 35L35 35B35 93D15 74F05 74K10 PDFBibTeX XMLCite \textit{B. Feng} and \textit{H. Li}, Bound. Value Probl. 2017, Paper No. 158, 13 p. (2017; Zbl 1378.35034) Full Text: DOI
Cavalcanti, Marcelo M.; Corrêa, Wellington J.; Rosier, Carole; Dias Silva, Flávio R. General decay rate estimates and numerical analysis for a transmission problem with locally distributed nonlinear damping. (English) Zbl 1373.65067 Comput. Math. Appl. 73, No. 10, 2293-2318 (2017). MSC: 65M38 35L53 35L70 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., Comput. Math. Appl. 73, No. 10, 2293--2318 (2017; Zbl 1373.65067) Full Text: DOI
Domingos Cavalcanti, V. N.; Rodrigues, J. H.; Rosier, C. Numerical analysis for the wave equation with locally nonlinear distributed damping. (English) Zbl 1382.65339 J. Comput. Appl. Math. 301, 144-160 (2016). MSC: 65M70 35L20 35L70 35B40 PDFBibTeX XMLCite \textit{V. N. Domingos Cavalcanti} et al., J. Comput. Appl. Math. 301, 144--160 (2016; Zbl 1382.65339) Full Text: DOI
Dias Silva, Flávio R.; Nascimento, Flávio A. F.; Rodrigues, José H. General decay rates for the wave equation with mixed-type damping mechanisms on unbounded domain with finite measure. (English) Zbl 1364.35041 Z. Angew. Math. Phys. 66, No. 6, 3123-3145 (2015). Reviewer: Daniel Ševčovič (Bratislava) MSC: 35B40 35L70 35B35 35R09 74D10 PDFBibTeX XMLCite \textit{F. R. Dias Silva} et al., Z. Angew. Math. Phys. 66, No. 6, 3123--3145 (2015; Zbl 1364.35041) Full Text: DOI
Messaoudi, Salim A.; Al-Gharabli, Mohammad M. A general decay result of a viscoelastic equation with past history and boundary feedback. (English) Zbl 1330.35041 Z. Angew. Math. Phys. 66, No. 4, 1519-1528 (2015). Reviewer: Igor Bock (Bratislava) MSC: 35B40 35B35 93D15 35L20 35R09 74D05 PDFBibTeX XMLCite \textit{S. A. Messaoudi} and \textit{M. M. Al-Gharabli}, Z. Angew. Math. Phys. 66, No. 4, 1519--1528 (2015; Zbl 1330.35041) Full Text: DOI
Benaissa, Abbes; Bahlil, Mounir Global existence and energy decay of solutions to a nonlinear Timoshenko beam system with a delay term. (English) Zbl 1357.35261 Taiwanese J. Math. 18, No. 5, 1411-1437 (2014). MSC: 35Q74 74K10 35A01 35B40 35L53 35R10 93D05 PDFBibTeX XMLCite \textit{A. Benaissa} and \textit{M. Bahlil}, Taiwanese J. Math. 18, No. 5, 1411--1437 (2014; Zbl 1357.35261) Full Text: DOI
Cavalcanti, M. M.; Domingos Cavalcanti, V. N.; Falcão Nascimento, F. A.; Lasiecka, I.; Rodrigues, J. H. Uniform decay rates for the energy of Timoshenko system with the arbitrary speeds of propagation and localized nonlinear damping. (English) Zbl 1316.35034 Z. Angew. Math. Phys. 65, No. 6, 1189-1206 (2014). MSC: 35B40 35L53 74K10 74H45 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., Z. Angew. Math. Phys. 65, No. 6, 1189--1206 (2014; Zbl 1316.35034) Full Text: DOI
Cavalcanti, Marcelo M.; Domingos Cavalcanti, Valéria N.; Lasiecka, Irena; Falcão Nascimento, Flávio A. Intrinsic decay rate estimates for the wave equation with competing viscoelastic and frictional dissipative effects. (English) Zbl 1326.35041 Discrete Contin. Dyn. Syst., Ser. B 19, No. 7, 1987-2011 (2014). MSC: 35B40 74F05 35A27 35Q93 58J45 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., Discrete Contin. Dyn. Syst., Ser. B 19, No. 7, 1987--2011 (2014; Zbl 1326.35041) Full Text: DOI
Li, Shun; Yao, Peng-Fei Stabilization of the Euler-Bernoulli plate with variable coefficients by nonlinear internal feedback. (English) Zbl 1297.93130 Automatica 50, No. 9, 2225-2233 (2014). MSC: 93D15 70Q05 74K20 53B21 PDFBibTeX XMLCite \textit{S. Li} and \textit{P.-F. Yao}, Automatica 50, No. 9, 2225--2233 (2014; Zbl 1297.93130) Full Text: DOI
Cavalcanti, Marcelo M.; Domingos Cavalcanti, Valéria N.; Fukuoka, Ryuichi; Toundykov, Daniel Unified approach to stabilization of waves on compact surfaces by simultaneous interior and boundary feedbacks of unrestricted growth. (English) Zbl 1311.35137 Appl. Math. Optim. 69, No. 1, 83-122 (2014). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35L20 35B35 58J45 35L71 93D15 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., Appl. Math. Optim. 69, No. 1, 83--122 (2014; Zbl 1311.35137) Full Text: DOI
Bchatnia, Ahmed; Daoulatli, Moez Local energy decay for the wave equation with a nonlinear time-dependent damping. (English) Zbl 1288.35068 Appl. Anal. 92, No. 11, 2288-2308 (2013). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35B40 35L71 35L20 PDFBibTeX XMLCite \textit{A. Bchatnia} and \textit{M. Daoulatli}, Appl. Anal. 92, No. 11, 2288--2308 (2013; Zbl 1288.35068) Full Text: DOI arXiv
Feng, Hongyinping; Li, Shengjia The stability for a one-dimensional wave equation with nonlinear uncertainty on the boundary. (English) Zbl 1282.35224 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 89, 202-207 (2013). MSC: 35L20 35L05 PDFBibTeX XMLCite \textit{H. Feng} and \textit{S. Li}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 89, 202--207 (2013; Zbl 1282.35224) Full Text: DOI
Cavalcanti, Marcelo M.; Domingos Cavalcanti, Valéria N.; Nascimento, Flávio A. F. Asymptotic stability of the wave equation on compact manifolds and locally distributed viscoelastic dissipation. (English) Zbl 1286.35031 Proc. Am. Math. Soc. 141, No. 9, 3183-3193 (2013); erratum ibid. 145, No. 9, 4097-4097 (2017). Reviewer: Jong Yeoul Park (Pusan) MSC: 35B35 35L05 35A27 58J45 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., Proc. Am. Math. Soc. 141, No. 9, 3183--3193 (2013; Zbl 1286.35031) Full Text: DOI
Cavalcanti, Marcelo M.; Lasiecka, Irena; Toundykov, Daniel Wave equation with damping affecting only a subset of static Wentzell boundary is uniformly stable. (English) Zbl 1408.35101 Trans. Am. Math. Soc. 364, No. 11, 5693-5713 (2012). MSC: 35L72 35L20 93B07 93D15 35L05 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., Trans. Am. Math. Soc. 364, No. 11, 5693--5713 (2012; Zbl 1408.35101) Full Text: DOI
Ouzahra, M.; Tsouli, A.; Boutoulout, A. Stabilisation and polynomial decay estimate for distributed semilinear systems. (English) Zbl 1256.93085 Int. J. Control 85, No. 4, 451-456 (2012). MSC: 93D15 93C15 93C10 PDFBibTeX XMLCite \textit{M. Ouzahra} et al., Int. J. Control 85, No. 4, 451--456 (2012; Zbl 1256.93085) Full Text: DOI
Cavalcanti, Marcelo M.; Lasiecka, Irena; Toundykov, Daniel Geometrically constrained stabilization of wave equations with Wentzell boundary conditions. (English) Zbl 1259.35135 Appl. Anal. 91, No. 8, 1427-1452 (2012). Reviewer: Shun-Tang Wu (Zhonghe) MSC: 35L53 93B07 93D15 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., Appl. Anal. 91, No. 8, 1427--1452 (2012; Zbl 1259.35135) Full Text: DOI
Bociu, Lorena; Rammaha, Mohammad; Toundykov, Daniel Wave equations with super-critical interior and boundary nonlinearities. (English) Zbl 1248.35128 Math. Comput. Simul. 82, No. 6, 1017-1029 (2012). Reviewer: Svetlin Georgiev (Rousse) MSC: 35L71 35L20 35B40 PDFBibTeX XMLCite \textit{L. Bociu} et al., Math. Comput. Simul. 82, No. 6, 1017--1029 (2012; Zbl 1248.35128) Full Text: DOI
Daoulatli, M. Behaviors of the energy of solutions of the wave equation with damping and external force. (English) Zbl 1234.35289 J. Math. Anal. Appl. 389, No. 1, 205-225 (2012). MSC: 35R01 35L05 35B40 PDFBibTeX XMLCite \textit{M. Daoulatli}, J. Math. Anal. Appl. 389, No. 1, 205--225 (2012; Zbl 1234.35289) Full Text: DOI
Wu, Shun-Tang General decay and blow-up of solutions for a viscoelastic equation with nonlinear boundary damping-source interactions. (English) Zbl 1242.35053 Z. Angew. Math. Phys. 63, No. 1, 65-106 (2012). Reviewer: Igor Bock (Bratislava) MSC: 35B40 35L20 74D05 35B44 35R09 PDFBibTeX XMLCite \textit{S.-T. Wu}, Z. Angew. Math. Phys. 63, No. 1, 65--106 (2012; Zbl 1242.35053) Full Text: DOI
Avalos, George; Toundykov, Daniel Boundary stabilization of structural acoustic interactions with interface on a Reissner-Mindlin plate. (English) Zbl 1231.35253 Nonlinear Anal., Real World Appl. 12, No. 6, 2985-3013 (2011). MSC: 35Q74 74K20 35B35 35B40 93C20 93D15 PDFBibTeX XMLCite \textit{G. Avalos} and \textit{D. Toundykov}, Nonlinear Anal., Real World Appl. 12, No. 6, 2985--3013 (2011; Zbl 1231.35253) Full Text: DOI
Benaissa, Abbes; Guesmia, Aissa RETRACTED ARTICLE: Global existence and general decay estimates of solutions of the degenerate or non-degenerate Kirchhoff equation with general dissipation. (English) Zbl 1372.35176 J. Evol. Equ. 11, No. 1, 239 (2011); retracted. MSC: 35L15 35A01 PDFBibTeX XMLCite \textit{A. Benaissa} and \textit{A. Guesmia}, J. Evol. Equ. 11, No. 1, 239 (2011; Zbl 1372.35176) Full Text: DOI
Bociu, Lorena; Rammaha, Mohammad; Toundykov, Daniel On a wave equation with supercritical interior and boundary sources and damping terms. (English) Zbl 1244.35092 Math. Nachr. 284, No. 16, 2032-2064 (2011). Reviewer: Svetlin Georgiev (Rousse) MSC: 35L71 35A01 35B35 35L20 35B33 35B40 35B44 PDFBibTeX XMLCite \textit{L. Bociu} et al., Math. Nachr. 284, No. 16, 2032--2064 (2011; Zbl 1244.35092) Full Text: DOI
Alabau-Boussouira, Fatiha; Ammari, Kaïs Sharp energy estimates for nonlinearly locally damped PDEs via observability for the associated undamped system. (English) Zbl 1217.93034 J. Funct. Anal. 260, No. 8, 2424-2450 (2011). MSC: 93B07 93D21 93C20 35L20 PDFBibTeX XMLCite \textit{F. Alabau-Boussouira} and \textit{K. Ammari}, J. Funct. Anal. 260, No. 8, 2424--2450 (2011; Zbl 1217.93034) Full Text: DOI
Daoulatli, M. Rate of decay of solutions of the wave equation with arbitrary localized nonlinear damping. (English) Zbl 1196.35049 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 4, 987-1003 (2010). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35B40 35L70 35B35 35L15 PDFBibTeX XMLCite \textit{M. Daoulatli}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 4, 987--1003 (2010; Zbl 1196.35049) Full Text: DOI
Mimouni, Salima; Benaissa, Abbes; Amroun, Nour-Eddine Global existence and optimal decay rate of solutions for the degenerate quasilinear wave equation with a strong dissipation. (English) Zbl 1192.35024 Appl. Anal. 89, No. 6, 815-831 (2010). MSC: 35B40 35L80 35L20 35R09 35L72 PDFBibTeX XMLCite \textit{S. Mimouni} et al., Appl. Anal. 89, No. 6, 815--831 (2010; Zbl 1192.35024) Full Text: DOI
Han, Xiaosen; Wang, Mingxin Asymptotic behavior for Petrovsky equation with localized damping. (English) Zbl 1191.35058 Acta Appl. Math. 110, No. 3, 1057-1076 (2010). MSC: 35B40 35L55 35G30 PDFBibTeX XMLCite \textit{X. Han} and \textit{M. Wang}, Acta Appl. Math. 110, No. 3, 1057--1076 (2010; Zbl 1191.35058) Full Text: DOI
Messaoudi, Salim A.; Mustafa, Muhammad I. On convexity for energy decay rates of a viscoelastic equation with boundary feedback. (English) Zbl 1185.35025 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 9-10, 3602-3611 (2010). MSC: 35B40 35L20 74D05 93D15 93D20 35R09 PDFBibTeX XMLCite \textit{S. A. Messaoudi} and \textit{M. I. Mustafa}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 9--10, 3602--3611 (2010; Zbl 1185.35025) Full Text: DOI
Alabau-Boussouira, Fatiha; Ammari, Kaïs Nonlinear stabilization of abstract systems via a linear observability inequality and application to vibrating PDE’s. (English. Abridged French version) Zbl 1185.93117 C. R., Math., Acad. Sci. Paris 348, No. 3-4, 165-170 (2010). MSC: 93D21 93C20 35L20 PDFBibTeX XMLCite \textit{F. Alabau-Boussouira} and \textit{K. Ammari}, C. R., Math., Acad. Sci. Paris 348, No. 3--4, 165--170 (2010; Zbl 1185.93117) Full Text: DOI
Guesmia, Aissa; Messaoudi, Salim A. General energy decay estimates of Timoshenko systems with frictional versus viscoelastic damping. (English) Zbl 1183.35036 Math. Methods Appl. Sci. 32, No. 16, 2102-2122 (2009). Reviewer: Igor Bock (Bratislava) MSC: 35B40 35B35 35L20 35L71 35R09 PDFBibTeX XMLCite \textit{A. Guesmia} and \textit{S. A. Messaoudi}, Math. Methods Appl. Sci. 32, No. 16, 2102--2122 (2009; Zbl 1183.35036) Full Text: DOI
Chueshov, Igor; Lasiecka, Irena; Toundykov, Daniel Global attractor for a wave equation with nonlinear localized boundary damping and a source term of critical exponent. (English) Zbl 1173.35025 J. Dyn. Differ. Equations 21, No. 2, 269-314 (2009). Reviewer: Marie Kopáčková (Praha) MSC: 35B41 35B33 35B40 35L20 35L70 PDFBibTeX XMLCite \textit{I. Chueshov} et al., J. Dyn. Differ. Equations 21, No. 2, 269--314 (2009; Zbl 1173.35025) Full Text: DOI