Title
Fractional oscillon equations; solvability and connection with classical oscillon equations
Date Issued
01 June 2021
Access level
open access
Resource Type
journal article
Author(s)
Universidade Federal de São Carlos
Publisher(s)
American Institute of Mathematical Sciences
Abstract
In this paper we are concerned with the asymptotic behavior of nonautonomous fractional approximations of oscillon equation (equation presented) subject to Dirichlet boundary condition on @, where is a bounded smooth domain in RN, N ≥ 3, the function ! is a time-dependent damping, μ is a time-dependent squared speed of propagation, and f is a nonlinear functional. Under structural assumptions on ω and μ we establish the existence of timedependent attractor for the fractional models in the sense of Carvalho, Langa, Robinson [6], and Di Plinio, Duane, Temam [10].
Start page
2257
End page
2277
Volume
20
Issue
6
Language
English
OCDE Knowledge area
Matemáticas aplicadas
Subjects
Scopus EID
2-s2.0-85107583352
Source
Communications on Pure and Applied Analysis
ISSN of the container
15340392
Sponsor(s)
35L71. Key words and phrases. oscillon equation, fractional powers, fractional equations, semilinear hyperbolic equations, pullback attractor. The second author is supported by CAPES/Finance Code 001/2019, Brazil. The third author is partially supported by FAPESP grant # 2017/06582-2, Brazil. ∗ Corresponding author.
Sources of information:
Directorio de Producción Científica
Scopus