Lower bound on the radius of analyticity of solution for fifth order KdV-BBM equation

被引：12

作者：

Belayneh, Birilew ^{[1
]}

Tegegn, Emawayish ^{[1
]}

Tesfahun, Achenef ^{[2
]}

机构：

[1] Bahir Dar Univ, Dept Math, Bahir Dar, Ethiopia

[2] Nazarbayev Univ, Dept Math, Qabanbai Batyr Ave 53, Nur Sultan 010000, Kazakhstan

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2022年 / 29卷 / 01期

关键词：

KdV-BBM equation; Global well-posedness lower bound; Radius of analyticity; Gevrey spaces; NONLINEAR DISPERSIVE MEDIA; AMPLITUDE LONG WAVES; SPATIAL ANALYTICITY; BOUSSINESQ EQUATIONS; REGULARITY; SYSTEMS; DOMAIN;

D O I：

10.1007/s00030-021-00738-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the uniform radius of spatial analyticity sigma(t) of solution at time t for the fifth order KdV-BBM equation cannot decay faster than 1/t for large t > 0, given initial data that is analytic with fixed radius sigma(0). This significantly improves a recent result by Carvajal and Panthee (On the radius of analyticity for the solution of the fifth order KdV-BBM model, 2020. arXiv:2009.09328) , where they established an exponential decay of sigma(t) for large t.

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页数：12

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