Lower bounds on the radius of analyticity for a system of modified KdV equations

Autor(es)

Figueira, Renata O. ^[1] ; Himonas, A. Alexandrou ^[2]

Afiliação do(s) autor(es)

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

^[2] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 - USA

• Tipo de documento: Artigo Científico
• Fonte: Journal of Mathematical Analysis and Applications; v. 497, n. 2 MAY 15 2021.
• Citações Web of Science: 0

Resumo

The initial value problem for a system of modified Korteweg-deVries equations with data that are analytic on R and having uniform radius of analyticity r(0) is studied. After proving an analytic version of known trilinear estimates in Sobolev spaces, local well-posedness is established and persistence of the radius of spatial analyticity is shown till some time T-0. Then, for time t >= T-0 it is proved that the radius of spatial analyticity is bounded from below by ct(-(2 +epsilon)), for any epsilon > 0. (C) 2021 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 17/12499-0 - Boa postura analítica e Gevrey "boa" equação de Boussinesq
• Beneficiário: Renata de Oliveira Figueira
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Doutorado
• Processo FAPESP: 15/24109-7 - Boa postura analítica e Gevrey da "boa" equação de Boussinesq
• Beneficiário: Renata de Oliveira Figueira
• Modalidade de apoio: Bolsas no Brasil - Doutorado