Local well-posedness and global analyticity for solutions of a generalized 0-equation

被引：3

作者：

da Silva, Priscila L. ^{[1
,2
]}

机构：

[1] Loughborough Univ, Sch Sci, Dept Math Sci, Loughborough, England

[2] Univ Fed ABC, Ctr Math Computat & Cognit, Santo Andre, Brazil

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2023年 / 153卷 / 05期

基金：

巴西圣保罗研究基金会;

关键词：

Well-posedness; gevrey spaces; b-equation; Holm-Staley equation; SHALLOW-WATER EQUATION; CAMASSA-HOLM; CAUCHY-PROBLEM; EXISTENCE; BREAKING; FAMILY;

D O I：

10.1017/prm.2022.64

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we study the Cauchy problem in Gevrey spaces for a generalized class of equations that contains the case b = 0 of the b-equation. For the generalized equation, we prove that it is locally well-posed for initial data in Gevrey spaces. Moreover, as we move to global well-posedness, we show that for a particular choice of the parameter in the equation the local solution is global analytic in both time and spatial variables.

引用

页码：1630 / 1650

页数：21

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