Continuity of the Unbounded Attractors for a Fractional Perturbation of a Scalar Reaction-Diffusion Equation

被引：0

作者：

Belluzi, Maykel ^{[1
]}

Bortolan, Matheus C. ^{[2
]}

Castro, Ubirajara ^{[3
]}

Fernandes, Juliana ^{[4
]}

机构：

[1] Univ Sao Paulo, Inst Ciencias Matemat & Computacao ICMC USP, BR-13566590 Sao Carlos, SP, Brazil

[2] Univ Fed St Catarina UFSC, Ctr Ciencias Fis & Matemat, Dept Matemat, Campus Florianopolis, BR-88040090 Florianopolis, SC, Brazil

[3] Inst Fed Educ, Ciencia & Tecnol Goias IFG, Rua 02,QD 10,Lts 1 15,Residencial Bauman, Cidade Goias BR-766000000, GO, Brazil

[4] Univ Fed Rio de Janeiro, Inst Matemat, Ctr Tecnol, Ilha Fundao, Ave Athos Silveira Ramos 149,Bloco C, BR-21941909 Rio De Janeiro, RJ, Brazil

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2024年

关键词：

Unbounded attractors; Fractional perturbations; Reaction-diffusion equation; Upper semicontinuity; Lower semicontinuity;

D O I：

10.1007/s10884-023-10341-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we study the continuity (both upper and lower semicontinuity), defined using the Hausdorff semidistance, of the unbounded attractors for a family of fractional perturbations of a scalar reaction-diffusion equation with a non-dissipative nonlinear term.

引用

页数：16

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