Fractional oscillon equations: continuity properties of attractors with respect to order of the equations

被引：2

作者：

Bezerra, Flank D. M. ^{[1
]}

Figueroa-Lopez, Rodiak N. ^{[2
]}

Nascimento, Marcelo J. D. ^{[2
]}

机构：

[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

来源：

NONLINEARITY | 2023年 / 36卷 / 02期

基金：

巴西圣保罗研究基金会;

关键词：

oscillon equation; fractional equations; approximations problems; pullback attractor; continuity; PULLBACK;

D O I：

10.1088/1361-6544/acad5c

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we are concerned with convergence properties of pullback attractors with respect to order of the fractional oscillon equations, that is, we study the fast growing dissipative semilinear oscillon equations as a limiting problem of semilinear equations with the main part being the fractional powers of the oscillon operators. We show that the family of pullback attractors associated with this approximations problems behave upper semicontinuously and we also show a result of continuity of the pullback attractors with respect to order of the fractional oscillon equations in each point of a dense residual subset of the interval [0,1]

引用

页码：1218 / 1244

页数：27

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