Advanced search
Start date
Betweenand

Asymptotic behavior for non-autonomous semilinear problems

Grant number: 17/06582-2
Support Opportunities:Regular Research Grants
Start date: June 01, 2017
End date: May 31, 2019
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal Investigator:Marcelo José Dias Nascimento
Grantee:Marcelo José Dias Nascimento
Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
Associated researchers:Flank David Morais Bezerra ; Karina Schiabel ; Severino Horácio da Silva ; Vera Lucia Carbone

Abstract

The aim of this project is to study non-autonomous semilinear problems. We are interested in problems for which the unbounded operator depends on the temporal variable $t$, in general in the literature this dependence does not occur in the unbounded operator but in non-linearity. We will seek to obtain results of existence of pullback attractors for several problems included in this class of semilinear problems. Whenever possible, study the robustness of these objects (attractors), in the sense of continuity of the attractors. (AU)

Articles published in Agência FAPESP Newsletter about the research grant:
More itemsLess items
Articles published in other media outlets ( ):
More itemsLess items
VEICULO: TITULO (DATA)
VEICULO: TITULO (DATA)

Scientific publications (6)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
NASCIMENTO, MARCELO J. D.; BEZERRA, FLANK D. M.. NON-AUTONOMOUS APPROXIMATIONS GOVERNED BY THE FRACTIONAL POWERS OF DAMPED WAVE OPERATORS. Electronic Journal of Differential Equations, . (17/06582-2)
YANG, XIN-GUANG; NASCIMENTO, MARCELO J. D.; PELICER, MAURICIO L.. UNIFORM ATTRACTORS FOR NON-AUTONOMOUS PLATE EQUATIONS WITH p-LAPLACIAN PERTURBATION AND CRITICAL NONLINEARITIES. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. 40, n. 3, p. 1937-1961, . (17/06582-2)
BEZERRA, FLANK D. M.; CARBONE, VERA L.; NASCIMENTO, MARCELO J. D.; SCHIABEL, KARINA. REGULARITY AND UPPER SEMICONTINUITY OF PULLBACK ATTRACTORS FOR A CLASS OF NONAUTONOMOUS THERMOELASTIC PLATE SYSTEMS. PACIFIC JOURNAL OF MATHEMATICS, v. 301, n. 2, p. 395-419, . (14/03686-3, 17/06582-2)
BEZERRA, FLANK D. M.; CARVALHO, ALEXANDRE N.; NASCIMENTO, MARCELO J. D.. FRACTIONAL APPROXIMATIONS OF ABSTRACT SEMILINEAR PARABOLIC PROBLEMS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v. 25, n. 11, p. 4221-4255, . (03/10042-0, 14/03686-3, 17/06582-2)
BEZERRA, FLANK D. M.; FIGUEROA-LOPEZ, RODIAK N.; NASCIMENTO, MARCELO J. D.. FRACTIONAL OSCILLON EQUATIONS; SOLVABILITY AND CONNECTION WITH CLASSICAL OSCILLON EQUATIONS. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v. 20, n. 6, p. 2257-2277, . (17/06582-2)
NASCIMENTO, MARCELO J. D.; BEZERRA, FLANK D. M.. NON-AUTONOMOUS APPROXIMATIONS GOVERNED BY THE FRACTIONAL POWERS OF DAMPED WAVE OPERATORS. Electronic Journal of Differential Equations, v. N/A, p. 19-pg., . (17/06582-2)