Publicações

Artigos Aceitos

1. CAVALCANTI, M.M. ; DOMINGOS CAVALCANTI, V.N. ; SOUZA FRANCO, A. Y. ; VICENTE, A. Decay rates for the wave equation in an unbounded domain with finite measure and internal-boundary damping. Advances in Differential Equations, 2024.

2. CARRIÃO, P. C.; MIYAGAKI, O. H.; VICENTE, A. Blow Up for Klein-Gordon Equation with Nonlocal Operator and Trudinger-Moser Nonlinearity. Journal of Dynamics and Differential Equations, 2024.

3. CAVALCANTI, M. M.; CAVALCANTI, V. N. DOMINGOS; VICENTE, A.. Exponential decay for the quintic wave equation with locally distributed damping. Mathematische Annalen, 2024.

4. VICENTE, A. Stability for coupled thermoelastic systems with nonlinear localized damping and Wentzell boundary conditions. Semigroup Forum, 2024.

Artigos Publicados

32. CAVALCANTI, M.M.; DOMINGOS CAVALCANTI, V.N.; GONZALEZ MARTINEZ, VICTOR H.; DRUZIANI MARCHIORI, TALITA; VICENTE, A. Stabilization of hyperbolic problems with localized damping in unbounded domains. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v. 537, p. 128256, 2024.

31. CAVALCANTI, M. M. ; DOMINGOS CAVALCANTI, V. N. ; VICENTE, A.. Homogenization and uniform stabilization of the wave equation in perforated domains. JOURNAL OF DIFFERENTIAL EQUATIONS, v. 402, p. 218-249, 2024.

30. 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. JOURNAL OF GEOMETRIC ANALYSIS, v. 33, p. 39, 2023.

29. CARRIÃO, P. C.; MIYAGAKI, O. H.; VICENTE, A.. Exponential decay for semilinear wave equation with localized damping in the hyperbolic space. Mathematische Nachrichten, v. 296, p. 130-151, 2023.

28. VICENTE, A.. Wave equation with viscoelastic acoustic boundary conditions and supercritical source term. JOURNAL OF DIFFERENTIAL EQUATIONS, v. 363, p. 422-464, 2023.

27. CARRIÃO, P. C.; LEHRER, R.; VICENTE, A. Unstable Ground State and Blow Up Result of Nonlocal Klein-Gordon Equations. Journal of Dynamics and Differential Equations, v. 35, p. 1917-1945, 2023.

26. 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. Advances in Differential Equations, v. 28, p. 685-752, 2023. 

25. CARRIAO, P. C. ; MIYAGAKI, O. H. ; VICENTE, A. Exponential decay for semilinear wave equation with localized damping in the hyperbolic space. Mathematische Nachrichten, v. 295, p. 1-22, 2022.

24. VICENTE, A. Well-posedness and stability for Kirchhoff equation with non-porous acoustic boundary conditions. JOURNAL OF DIFFERENTIAL EQUATIONS, v. 313, p. 314-335, 2022.

23. VICENTE, A.; CARRIAO, P. C. . Existence, uniqueness, and exponential stability for the Kirchhoff equation in whole hyperbolic space. JOURNAL OF EVOLUTION EQUATIONS (ONLINE ED.), v. 22, p. 67, 2022. 

22. CARRIAO, P. C. ; MIYAGAKI, O. H. ; VICENTE, A. . Normalized solutions of Kirchhoff equations with critical and subcritical nonlinearities: the defocusing case. Partial Differential Equations and Applications, v. 3, p. 16, 2022.

21. CAVALCANTI, M.M.; DOMINGOS CAVALCANTI, V. N.; VICENTE, A. Stability for a nonlinear hyperbolic equation with time-dependent coefficients and boundary damping. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (ELECTRONIC ED.), v. 73, p. 221, 2022.

20. CAVALCANTI, M.M. ; DOMINGOS CAVALCANTI, V.N.; SIMION ANTUNES, J.G.; VICENTE, A.  Stability for the wave equation in an unbounded domain with finite measure and with nonlinearities of arbitrary growth. JOURNAL OF DIFFERENTIAL EQUATIONS, v. 318, p. 230-269, 2022. 

19. GRANDE VICENTE, D. M. ; VICENTE, A. .  Uma observação sobre as definições das funções seno e cosseno. PROFESSOR DE MATEMÁTICA ONLINE, v. 9, p. 261-278, 2021. 

18. CARRIAO, P. C. ; COSTA, A. C. R. ; MIYAGAKI, O. H. ; VICENTE, A. . Kirchhoff-type problems with critical Sobolev exponent in a hyperbolic space. Electronic Journal of Differential Equations, v. 2021, p. 1-12, 2021. 

17. 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. JOURNAL OF DIFFERENTIAL EQUATIONS, v. 269, p. 8212-8268, 2020. 

16. CAVALCANTI, M. M.; DOMINGOS CAVALCANTI, V. N.; FROTA, C. L.; VICENTE, A. Stability for Semilinear Wave Equation in an Inhomogeneous Medium with Frictional Localized Damping and Acoustic Boundary Conditions. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, v. 58, p. 2411-2445, 2020. 

15. VICENTE, A. Blow-up of solution of wave equation with internal and boundary source term and non-porous viscoelastic acoustic boundary conditions. Mathematische Nachrichten, v. 292, p. 645-660, 2019.

14. JORGE SILVA, M. A. ; Narciso, V. ; VICENTE, A . On a beam model related to flight structures with nonlocal energy damping. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v. 24(7), p. 3281-3298, 2019.

13. CARRIAO, P. C. ; LEHRER, R. ; MIYAGAKI, O. H. ; VICENTE, A. A Brezis-Nirenberg problem on hyperbolic spaces. Electronic Journal of Differential Equations, v. 2019, p. 1-15, 2019.

12. CAVALCANTI, M. M. ; DIAS SILVA, F. R. ; DOMINGOS CAVALCANTI, V. N. ; VICENTE, A . Stability for the Mixed Problem Involving the Wave Equation, with Localized Damping, in Unbounded Domains with Finite Measure. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, v. 56, p. 2802-2834, 2018.

11. FROTA, C. L. ; VICENTE, A . Uniform stabilization of wave equation with localized internal damping and acoustic boundary condition with viscoelastic damping. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (ELECTRONIC ED.), v. 69, p. 85, 2018.

10. VICENTE, A.; FROTA, Cícero Lopes . Uniform stabilization of wave equation with localized damping and acoustic boundary condition. Journal of Mathematical Analysis and Applications (Print), v. 436, p. 639-660, 2016.

9. CARRIAO, P. C. ; LEHRER, R. ; VICENTE, A. Existence and nonexistence of solutions of asymptotically linear Klein-Gordon equation. Electronic Journal of Differential Equations, v. 2016, p. 1-15, 2016.

8. SILVA, F. R. D. ; PITOT, J. M. S. ; VICENTE, A. Existence, uniqueness and exponential decay of Kirchhoff equation in Rn. Electronic Journal of Differential Equations, v. 2016, p. 1-27, 2016.

7. VICENTE, A.; FROTA, C. L. . General decay of solutions of a wave equation with memory term and acoustic boundary condition. Mathematical Methods in the Applied Sciences, v. 40, p. 2140-2152, 2016.

6. VICENTE, A.; FROTA, Cícero Lopes ; MEDEIROS, Luis Adauto . Remarks on a mixed problem for the semilinear wave equation with acoustic boundary conditions in domains with non-locally reacting boundary. Electronic Journal of Differential Equations, v. 2014, p. 1-14, 2014.

5. VICENTE, A; FROTA, Cícero Lopes . Nonlinear wave equation with weak dissipative term in domains with non-locally reacting boundary. Wave Motion, v. 50, p. 162-169, 2013.

4. VICENTE, A; FROTA, Cícero Lopes. On a mixed problem with a nonlinear acoustic boundary condition for a non-locally reacting boundaries. Journal of Mathematical Analysis and Applications (Print), v. 407, p. 328-338, 2013.

3.  VICENTE, A; FROTA, Cícero Lopes ; MEDEIROS, Luis Adauto . Wave Equation in Domains with Non-Locally Reacting Boundary. Differential and Integral Equations, v. 24, p. 1001-1020, 2011.

2. VICENTE, A. Wave Equation with Acoustic/Memory Boundary Conditions. Boletim da Sociedade Paranaense de Matemática, v. 27, p. 29-39, 2009.

1. FROTA, Cícero Lopes ; VICENTE, A . A Hyperbolic System of Klein Gordon Type with Acoustic Boundary Conditions. International Journal of Pure and Applied Mathematics, v. 47, p. 185-198, 2008.