Advanced search
Start date
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)


Full text
Bezerra, Flank D. M. [1] ; Carbone, Vera L. [2] ; Nascimento, Marcelo J. D. [2] ; Schiabel, Karina [2]
Total Authors: 4
[1] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba - Brazil
[2] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B; v. 23, n. 9, p. 3553-3571, NOV 2018.
Web of Science Citations: 2

In this article we study the asymptotic behavior of solutions, in the sense of pullback attractors, of the evolution system [u(tt) + Delta(2)u + a(t)Delta theta = f(t,u), t > tau, x is an element of Omega, theta(t) + kappa Delta theta + a(t)Delta u(t) = 0, t > tau, x is an element of Omega, subject to boundary conditions u = Delta u= theta = 0, t > tau, x is an element of partial derivative Omega, where Omega is a bounded domain in R-N with N >= 2, which boundary partial derivative Omega is assumed to be a C-4-hypersurface, kappa > 0 is constant, a is an Holder continuous function and f is a dissipative nonlinearity locally Lipschitz in the second variable. Using the theory of uniform sectorial operators, in the sense of P. Sobolevskii ({[}23]), we give a partial description of the fractional power spaces scale for the thermoelastic plate operator and we show the local and global well-posedness of this non-autonomous problem. Furthermore we prove existence and uniform boundedness of pullback attractors. (AU)

FAPESP's process: 14/03109-6 - Dynamics of autonomous and nonautonomous semilinear problems
Grantee:Marcelo José Dias Nascimento
Support type: Regular Research Grants
FAPESP's process: 14/03686-3 - The dynamics of evolution equations governed by fractional powers of closed operators
Grantee:Flank David Morais Bezerra
Support type: Scholarships in Brazil - Post-Doctorate