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
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
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
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
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
Cavalcanti, Marcelo M.; Domingos Cavalcanti, Valeria N.; Jorge Silva, Marcio A.; Webler, Claudete M. Exponential stability for the wave equation with degenerate nonlocal weak damping. (English) Zbl 1375.35042 Isr. J. Math. 219, No. 1, 189-213 (2017). Reviewer: Joseph Shomberg (Providence) MSC: 35B40 35B35 35L20 35L71 35R09 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., Isr. J. Math. 219, No. 1, 189--213 (2017; Zbl 1375.35042) 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
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
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
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