FRACTIONAL OSCILLON EQUATIONS; SOLVABILITY AND CONNECTION WITH CLASSICAL OSCILLON EQUATIONS

Autor(es)

Bezerra, Flank D. M. ^[1] ; Figueroa-Lopez, Rodiak N. ^[2] ; Nascimento, Marcelo J. D. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, PB - Brazil

^[2] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS; v. 20, n. 6, p. 2257-2277, JUN 2021.
• Citações Web of Science: 0

Resumo

In this paper we are concerned with the asymptotic behavior of nonautonomous fractional approximations of oscillon equation utt - mu (t)Delta u + omega (t)ut = f (u), x is an element of Omega, t is an element of R, subject to Dirichlet boundary condition on partial derivative Omega, where Omega is a bounded smooth domain in RN, N >= 3, the function omega is a time-dependent damping, mu is a time-dependent squared speed of propagation, and f is a nonlinear functional. Under structural assumptions on omega and mu we establish the existence of time dependent attractor for the fractional models in the sense of Carvalho, Langa, Robinson {[}6], and Di Plinio, Duane, Temam {[}10]. <comment>Superscript/Subscript Available</comment (AU)

• Processo FAPESP: 17/06582-2 - Comportamento assintótico para problemas semilineares não-autônomos
• Beneficiário: Marcelo José Dias Nascimento
• Modalidade de apoio: Auxílio à Pesquisa - Regular