Carrião, Paulo Cesar; Miyagaki, Olímpio Hiroshi; Vicente, André Exponential decay for semilinear wave equation with localized damping in the hyperbolic space. (English) Zbl 1526.35053 Math. Nachr. 296, No. 1, 130-151 (2023). MSC: 35B40 35L15 35L71 PDFBibTeX XMLCite \textit{P. C. Carrião} et al., Math. Nachr. 296, No. 1, 130--151 (2023; Zbl 1526.35053) Full Text: DOI
Carrião, Paulo Cesar; Lehrer, Raquel; Vicente, André Unstable ground state and blow up result of nonlocal Klein-Gordon equations. (English) Zbl 1521.35056 J. Dyn. Differ. Equations 35, No. 3, 1917-1945 (2023). MSC: 35B44 35L15 35L71 35R11 PDFBibTeX XMLCite \textit{P. C. Carrião} et al., J. Dyn. Differ. Equations 35, No. 3, 1917--1945 (2023; Zbl 1521.35056) Full Text: DOI
Tavares, E. H. Gomes; Silva, M. A. Jorge; Narciso, V.; Vicente, A. Dynamics of a class of extensible beams with degenerate and non-degenerate nonlocal damping. (English) Zbl 1518.35135 Adv. Differ. Equ. 28, No. 7-8, 685-752 (2023). MSC: 35B41 35L25 35L75 35L90 37L30 74K10 PDFBibTeX XMLCite \textit{E. H. G. Tavares} et al., Adv. Differ. Equ. 28, No. 7--8, 685--752 (2023; Zbl 1518.35135) Full Text: DOI arXiv
Vicente, A. Wave equation with viscoelastic acoustic boundary conditions and supercritical source term. (English) Zbl 1515.35158 J. Differ. Equations 363, 422-464 (2023). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35L20 35A01 35B40 35L71 35R09 PDFBibTeX XMLCite \textit{A. Vicente}, J. Differ. Equations 363, 422--464 (2023; Zbl 1515.35158) 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, Marcelo Moreira; Domingos Cavalcanti, Valéria Neves; Vicente, André Stability for a nonlinear hyperbolic equation with time-dependent coefficients and boundary damping. (English) Zbl 1500.35033 Z. Angew. Math. Phys. 73, No. 6, Paper No. 221, 20 p. (2022). MSC: 35B40 35B35 35L20 35L71 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., Z. Angew. Math. Phys. 73, No. 6, Paper No. 221, 20 p. (2022; Zbl 1500.35033) Full Text: DOI
Carrião, Paulo Cesar; Vicente, André Existence, uniqueness, and exponential stability for the Kirchhoff equation in whole hyperbolic space. (English) Zbl 1497.35041 J. Evol. Equ. 22, No. 3, Paper No. 67, 25 p. (2022). Reviewer: Mengni Li (Nanjing) MSC: 35B40 35L15 35L72 35R09 PDFBibTeX XMLCite \textit{P. C. Carrião} and \textit{A. Vicente}, J. Evol. Equ. 22, No. 3, Paper No. 67, 25 p. (2022; Zbl 1497.35041) Full Text: DOI
Cavalcanti, M. M.; Cavalcanti, V. N. Domingos; Antunes, J. G. Simion; Vicente, A. Stability for the wave equation in an unbounded domain with finite measure and with nonlinearities of arbitrary growth. (English) Zbl 1484.35048 J. Differ. Equations 318, 230-269 (2022). MSC: 35B40 35A27 35L20 35L71 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., J. Differ. Equations 318, 230--269 (2022; Zbl 1484.35048) Full Text: DOI
Vicente, A. Well-posedness and stability for Kirchhoff equation with non-porous acoustic boundary conditions. (English) Zbl 1483.35137 J. Differ. Equations 313, 314-335 (2022). MSC: 35L72 35L20 35B35 35B40 PDFBibTeX XMLCite \textit{A. Vicente}, J. Differ. Equations 313, 314--335 (2022; Zbl 1483.35137) Full Text: DOI
Cavalcanti, Marcelo Moreira; Domingos Cavalcanti, Valéria Neves; Frota, Cícero Lopes; Vicente, André Stability for semilinear wave equation in an inhomogeneous medium with frictional localized damping and acoustic boundary conditions. (English) Zbl 1445.35237 SIAM J. Control Optim. 58, No. 4, 2411-2445 (2020). MSC: 35L20 35L71 35B35 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., SIAM J. Control Optim. 58, No. 4, 2411--2445 (2020; Zbl 1445.35237) 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, 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
Lopes Frota, Cícero; Vicente, André Uniform stabilization of wave equation with localized internal damping and acoustic boundary condition with viscoelastic damping. (English) Zbl 1402.35044 Z. Angew. Math. Phys. 69, No. 3, Paper No. 85, 24 p. (2018). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35B40 35L05 35L20 PDFBibTeX XMLCite \textit{C. Lopes Frota} and \textit{A. Vicente}, Z. Angew. Math. Phys. 69, No. 3, Paper No. 85, 24 p. (2018; Zbl 1402.35044) Full Text: DOI
Vicente, A.; Frota, C. L. General decay of solutions of a wave equation with memory term and acoustic boundary condition. (English) Zbl 1364.35183 Math. Methods Appl. Sci. 40, No. 6, 2140-2152 (2017). MSC: 35L20 35B35 35B40 35L71 35R09 PDFBibTeX XMLCite \textit{A. Vicente} and \textit{C. L. Frota}, Math. Methods Appl. Sci. 40, No. 6, 2140--2152 (2017; Zbl 1364.35183) Full Text: DOI
Vicente, A.; Frota, C. L. Uniform stabilization of wave equation with localized damping and acoustic boundary condition. (English) Zbl 1339.35049 J. Math. Anal. Appl. 436, No. 2, 639-660 (2016). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35B40 35B35 35L20 35L71 PDFBibTeX XMLCite \textit{A. Vicente} and \textit{C. L. Frota}, J. Math. Anal. Appl. 436, No. 2, 639--660 (2016; Zbl 1339.35049) Full Text: DOI
Vicente, A.; Frota, C. L. On a mixed problem with a nonlinear acoustic boundary condition for a non-locally reacting boundaries. (English) Zbl 1310.35153 J. Math. Anal. Appl. 407, No. 2, 328-338 (2013). MSC: 35L20 35L70 35B40 PDFBibTeX XMLCite \textit{A. Vicente} and \textit{C. L. Frota}, J. Math. Anal. Appl. 407, No. 2, 328--338 (2013; Zbl 1310.35153) Full Text: DOI