On a cascade system of Schrodinger equations. Fractional powers approach

Autor(es)

Belluzi, Maykel ^[1] ; Nascimento, Marcelo J. D. ^[1] ; Schiabel, Karina ^[1]

Afiliação do(s) autor(es)

^[1] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Mathematical Analysis and Applications; v. 506, n. 1 FEB 1 2022.
• Citações Web of Science: 0

Resumo

Our goal is to study fractional powers of a cascade system of partial differential equations. We explicitly calculate the fractional powers of linear operators associated to this type of system and we discuss local solvability of the fractional equation with subcritical nonlinearity. As an example, a cascade system of Schrodinger equation is analyzed. A connection between the fractional system and the original system is established and we prove the convergence of the linear semigroups obtained by the fractional power operator to the original linear semigroup, as the power alpha approaches 1. (c) 2021 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 17/17502-0 - Semicontinuidades superior e inferior de atratores associados a problemas de evolução com operadores quase sectoriais
• Beneficiário: Maykel Boldrin Belluzi
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Doutorado
• Processo FAPESP: 19/26841-8 - Estudo de problemas semilineares parabólicos e hiperbólicos não-autônomos
• Beneficiário: Marcelo José Dias Nascimento
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 17/09406-0 - Problemas de evolução semilineares com operadores quase setoriais
• Beneficiário: Maykel Boldrin Belluzi
• Modalidade de apoio: Bolsas no Brasil - Doutorado